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Finding the Fourth Proportional to 1,572.54, 2,357.06 and 956.10

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Solution

The fourth proportional to 1,572.54, 2,357.06 and 956.10 is: 1,433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.54 : 2,357.06 = 956.10 : x
  2. Step 2: Convert to fraction form
    1,572.54/2,357.06 = 956.10/x
  3. Step 3: Cross multiply
    1,572.54x = 2,357.06 × 956.10
  4. Step 4: Simplify right side
    1,572.54x = 2,253,585.07
  5. Step 5: Solve for x
    x = 2,253,585.07/1,572.54
  6. Step 6: Final answer
    x = 1,433.09

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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.