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Finding the Fourth Proportional to 1,493.70, 2,240.10 and 569.76

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Solution

The fourth proportional to 1,493.70, 2,240.10 and 569.76 is: 854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.70 : 2,240.10 = 569.76 : x
  2. Step 2: Convert to fraction form
    1,493.70/2,240.10 = 569.76/x
  3. Step 3: Cross multiply
    1,493.70x = 2,240.10 × 569.76
  4. Step 4: Simplify right side
    1,493.70x = 1,276,319.38
  5. Step 5: Solve for x
    x = 1,276,319.38/1,493.70
  6. Step 6: Final answer
    x = 854.47

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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.