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Finding the Fourth Proportional to 1,140.10, 1,592.90 and 1,140.10

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Solution

The fourth proportional to 1,140.10, 1,592.90 and 1,140.10 is: 1,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.10 : 1,592.90 = 1,140.10 : x
  2. Step 2: Convert to fraction form
    1,140.10/1,592.90 = 1,140.10/x
  3. Step 3: Cross multiply
    1,140.10x = 1,592.90 × 1,140.10
  4. Step 4: Simplify right side
    1,140.10x = 1,816,065.29
  5. Step 5: Solve for x
    x = 1,816,065.29/1,140.10
  6. Step 6: Final answer
    x = 1,592.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.