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Finding the Fourth Proportional to 1,513.54, 2,269.01 and 1,052.19

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Solution

The fourth proportional to 1,513.54, 2,269.01 and 1,052.19 is: 1,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.54 : 2,269.01 = 1,052.19 : x
  2. Step 2: Convert to fraction form
    1,513.54/2,269.01 = 1,052.19/x
  3. Step 3: Cross multiply
    1,513.54x = 2,269.01 × 1,052.19
  4. Step 4: Simplify right side
    1,513.54x = 2,387,432.26
  5. Step 5: Solve for x
    x = 2,387,432.26/1,513.54
  6. Step 6: Final answer
    x = 1,577.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.