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Finding the Fourth Proportional to 1,565.74, 2,347.38 and 785.34

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Solution

The fourth proportional to 1,565.74, 2,347.38 and 785.34 is: 1,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.74 : 2,347.38 = 785.34 : x
  2. Step 2: Convert to fraction form
    1,565.74/2,347.38 = 785.34/x
  3. Step 3: Cross multiply
    1,565.74x = 2,347.38 × 785.34
  4. Step 4: Simplify right side
    1,565.74x = 1,843,491.41
  5. Step 5: Solve for x
    x = 1,843,491.41/1,565.74
  6. Step 6: Final answer
    x = 1,177.39

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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.