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Finding the Fourth Proportional to 1,576.84, 2,349.65 and 1,404.52

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Solution

The fourth proportional to 1,576.84, 2,349.65 and 1,404.52 is: 2,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.84 : 2,349.65 = 1,404.52 : x
  2. Step 2: Convert to fraction form
    1,576.84/2,349.65 = 1,404.52/x
  3. Step 3: Cross multiply
    1,576.84x = 2,349.65 × 1,404.52
  4. Step 4: Simplify right side
    1,576.84x = 3,300,130.42
  5. Step 5: Solve for x
    x = 3,300,130.42/1,576.84
  6. Step 6: Final answer
    x = 2,092.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.