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Finding the Fourth Proportional to 2,599.41, 3,587.21 and 1,420.50

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Solution

The fourth proportional to 2,599.41, 3,587.21 and 1,420.50 is: 1,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.41 : 3,587.21 = 1,420.50 : x
  2. Step 2: Convert to fraction form
    2,599.41/3,587.21 = 1,420.50/x
  3. Step 3: Cross multiply
    2,599.41x = 3,587.21 × 1,420.50
  4. Step 4: Simplify right side
    2,599.41x = 5,095,631.81
  5. Step 5: Solve for x
    x = 5,095,631.81/2,599.41
  6. Step 6: Final answer
    x = 1,960.30

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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.