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Finding the Fourth Proportional to 1,627.09, 2,424.03 and 1,547.10

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Solution

The fourth proportional to 1,627.09, 2,424.03 and 1,547.10 is: 2,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.09 : 2,424.03 = 1,547.10 : x
  2. Step 2: Convert to fraction form
    1,627.09/2,424.03 = 1,547.10/x
  3. Step 3: Cross multiply
    1,627.09x = 2,424.03 × 1,547.10
  4. Step 4: Simplify right side
    1,627.09x = 3,750,211.01
  5. Step 5: Solve for x
    x = 3,750,211.01/1,627.09
  6. Step 6: Final answer
    x = 2,304.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.