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Finding the Fourth Proportional to 2,547.38, 3,821.38 and 987.05

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Solution

The fourth proportional to 2,547.38, 3,821.38 and 987.05 is: 1,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.38 : 3,821.38 = 987.05 : x
  2. Step 2: Convert to fraction form
    2,547.38/3,821.38 = 987.05/x
  3. Step 3: Cross multiply
    2,547.38x = 3,821.38 × 987.05
  4. Step 4: Simplify right side
    2,547.38x = 3,771,900.21
  5. Step 5: Solve for x
    x = 3,771,900.21/2,547.38
  6. Step 6: Final answer
    x = 1,480.70

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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.