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Finding the Fourth Proportional to 2,681.82, 3,701.18 and 1,547.55

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Solution

The fourth proportional to 2,681.82, 3,701.18 and 1,547.55 is: 2,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.82 : 3,701.18 = 1,547.55 : x
  2. Step 2: Convert to fraction form
    2,681.82/3,701.18 = 1,547.55/x
  3. Step 3: Cross multiply
    2,681.82x = 3,701.18 × 1,547.55
  4. Step 4: Simplify right side
    2,681.82x = 5,727,753.37
  5. Step 5: Solve for x
    x = 5,727,753.37/2,681.82
  6. Step 6: Final answer
    x = 2,135.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.