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Finding the Fourth Proportional to 1,572.56, 2,357.61 and 913.42

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Solution

The fourth proportional to 1,572.56, 2,357.61 and 913.42 is: 1,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.56 : 2,357.61 = 913.42 : x
  2. Step 2: Convert to fraction form
    1,572.56/2,357.61 = 913.42/x
  3. Step 3: Cross multiply
    1,572.56x = 2,357.61 × 913.42
  4. Step 4: Simplify right side
    1,572.56x = 2,153,488.13
  5. Step 5: Solve for x
    x = 2,153,488.13/1,572.56
  6. Step 6: Final answer
    x = 1,369.42

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