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Finding the Fourth Proportional to 1,452.66, 2,005.98 and 929.58

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Solution

The fourth proportional to 1,452.66, 2,005.98 and 929.58 is: 1,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.66 : 2,005.98 = 929.58 : x
  2. Step 2: Convert to fraction form
    1,452.66/2,005.98 = 929.58/x
  3. Step 3: Cross multiply
    1,452.66x = 2,005.98 × 929.58
  4. Step 4: Simplify right side
    1,452.66x = 1,864,718.89
  5. Step 5: Solve for x
    x = 1,864,718.89/1,452.66
  6. Step 6: Final answer
    x = 1,283.66

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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.