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Finding the Fourth Proportional to 1,562.56, 2,347.48 and 913.75

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Solution

The fourth proportional to 1,562.56, 2,347.48 and 913.75 is: 1,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.56 : 2,347.48 = 913.75 : x
  2. Step 2: Convert to fraction form
    1,562.56/2,347.48 = 913.75/x
  3. Step 3: Cross multiply
    1,562.56x = 2,347.48 × 913.75
  4. Step 4: Simplify right side
    1,562.56x = 2,144,998.11
  5. Step 5: Solve for x
    x = 2,144,998.11/1,562.56
  6. Step 6: Final answer
    x = 1,372.75

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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.