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Finding the Fourth Proportional to 2,599.47, 3,587.29 and 1,420.56

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Solution

The fourth proportional to 2,599.47, 3,587.29 and 1,420.56 is: 1,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.47 : 3,587.29 = 1,420.56 : x
  2. Step 2: Convert to fraction form
    2,599.47/3,587.29 = 1,420.56/x
  3. Step 3: Cross multiply
    2,599.47x = 3,587.29 × 1,420.56
  4. Step 4: Simplify right side
    2,599.47x = 5,095,957.13
  5. Step 5: Solve for x
    x = 5,095,957.13/2,599.47
  6. Step 6: Final answer
    x = 1,960.38

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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.