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Finding the Fourth Proportional to 2,885.42, 4,329.76 and 1,154.18

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Solution

The fourth proportional to 2,885.42, 4,329.76 and 1,154.18 is: 1,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.42 : 4,329.76 = 1,154.18 : x
  2. Step 2: Convert to fraction form
    2,885.42/4,329.76 = 1,154.18/x
  3. Step 3: Cross multiply
    2,885.42x = 4,329.76 × 1,154.18
  4. Step 4: Simplify right side
    2,885.42x = 4,997,322.40
  5. Step 5: Solve for x
    x = 4,997,322.40/2,885.42
  6. Step 6: Final answer
    x = 1,731.92

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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.