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Finding the Fourth Proportional to 1,476.42, 2,214.66 and 610.20

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Solution

The fourth proportional to 1,476.42, 2,214.66 and 610.20 is: 915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.42 : 2,214.66 = 610.20 : x
  2. Step 2: Convert to fraction form
    1,476.42/2,214.66 = 610.20/x
  3. Step 3: Cross multiply
    1,476.42x = 2,214.66 × 610.20
  4. Step 4: Simplify right side
    1,476.42x = 1,351,385.53
  5. Step 5: Solve for x
    x = 1,351,385.53/1,476.42
  6. Step 6: Final answer
    x = 915.31

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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.