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Finding the Fourth Proportional to 1,154.46, 1,741.49 and 1,152.03

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Solution

The fourth proportional to 1,154.46, 1,741.49 and 1,152.03 is: 1,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.46 : 1,741.49 = 1,152.03 : x
  2. Step 2: Convert to fraction form
    1,154.46/1,741.49 = 1,152.03/x
  3. Step 3: Cross multiply
    1,154.46x = 1,741.49 × 1,152.03
  4. Step 4: Simplify right side
    1,154.46x = 2,006,242.96
  5. Step 5: Solve for x
    x = 2,006,242.96/1,154.46
  6. Step 6: Final answer
    x = 1,737.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.