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Finding the Fourth Proportional to 2,368.42, 3,552.46 and 981.38

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Solution

The fourth proportional to 2,368.42, 3,552.46 and 981.38 is: 1,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.42 : 3,552.46 = 981.38 : x
  2. Step 2: Convert to fraction form
    2,368.42/3,552.46 = 981.38/x
  3. Step 3: Cross multiply
    2,368.42x = 3,552.46 × 981.38
  4. Step 4: Simplify right side
    2,368.42x = 3,486,319.62
  5. Step 5: Solve for x
    x = 3,486,319.62/2,368.42
  6. Step 6: Final answer
    x = 1,472.00

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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.