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Finding the Fourth Proportional to 2,547.46, 3,512.82 and 1,885.60

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Solution

The fourth proportional to 2,547.46, 3,512.82 and 1,885.60 is: 2,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.46 : 3,512.82 = 1,885.60 : x
  2. Step 2: Convert to fraction form
    2,547.46/3,512.82 = 1,885.60/x
  3. Step 3: Cross multiply
    2,547.46x = 3,512.82 × 1,885.60
  4. Step 4: Simplify right side
    2,547.46x = 6,623,773.39
  5. Step 5: Solve for x
    x = 6,623,773.39/2,547.46
  6. Step 6: Final answer
    x = 2,600.15

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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.