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Finding the Fourth Proportional to 2,599.76, 3,587.75 and 1,420.92

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Solution

The fourth proportional to 2,599.76, 3,587.75 and 1,420.92 is: 1,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.76 : 3,587.75 = 1,420.92 : x
  2. Step 2: Convert to fraction form
    2,599.76/3,587.75 = 1,420.92/x
  3. Step 3: Cross multiply
    2,599.76x = 3,587.75 × 1,420.92
  4. Step 4: Simplify right side
    2,599.76x = 5,097,905.73
  5. Step 5: Solve for x
    x = 5,097,905.73/2,599.76
  6. Step 6: Final answer
    x = 1,960.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.