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Finding the Fourth Proportional to 1,575.69, 2,174.45 and 912.58

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Solution

The fourth proportional to 1,575.69, 2,174.45 and 912.58 is: 1,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.69 : 2,174.45 = 912.58 : x
  2. Step 2: Convert to fraction form
    1,575.69/2,174.45 = 912.58/x
  3. Step 3: Cross multiply
    1,575.69x = 2,174.45 × 912.58
  4. Step 4: Simplify right side
    1,575.69x = 1,984,359.58
  5. Step 5: Solve for x
    x = 1,984,359.58/1,575.69
  6. Step 6: Final answer
    x = 1,259.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.