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Finding the Fourth Proportional to 2,370.90, 3,549.05 and 1,547.40

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Solution

The fourth proportional to 2,370.90, 3,549.05 and 1,547.40 is: 2,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.90 : 3,549.05 = 1,547.40 : x
  2. Step 2: Convert to fraction form
    2,370.90/3,549.05 = 1,547.40/x
  3. Step 3: Cross multiply
    2,370.90x = 3,549.05 × 1,547.40
  4. Step 4: Simplify right side
    2,370.90x = 5,491,799.97
  5. Step 5: Solve for x
    x = 5,491,799.97/2,370.90
  6. Step 6: Final answer
    x = 2,316.34

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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.