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Finding the Fourth Proportional to 2,681.40, 4,020.72 and 1,038.42

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Solution

The fourth proportional to 2,681.40, 4,020.72 and 1,038.42 is: 1,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.40 : 4,020.72 = 1,038.42 : x
  2. Step 2: Convert to fraction form
    2,681.40/4,020.72 = 1,038.42/x
  3. Step 3: Cross multiply
    2,681.40x = 4,020.72 × 1,038.42
  4. Step 4: Simplify right side
    2,681.40x = 4,175,196.06
  5. Step 5: Solve for x
    x = 4,175,196.06/2,681.40
  6. Step 6: Final answer
    x = 1,557.10

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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.