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Finding the Fourth Proportional to 1,304.01, 1,957.32 and 1,156.72

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Solution

The fourth proportional to 1,304.01, 1,957.32 and 1,156.72 is: 1,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.01 : 1,957.32 = 1,156.72 : x
  2. Step 2: Convert to fraction form
    1,304.01/1,957.32 = 1,156.72/x
  3. Step 3: Cross multiply
    1,304.01x = 1,957.32 × 1,156.72
  4. Step 4: Simplify right side
    1,304.01x = 2,264,065.41
  5. Step 5: Solve for x
    x = 2,264,065.41/1,304.01
  6. Step 6: Final answer
    x = 1,736.24

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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.