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Finding the Fourth Proportional to 2,531.76, 3,494.25 and 1,870.53

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Solution

The fourth proportional to 2,531.76, 3,494.25 and 1,870.53 is: 2,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.76 : 3,494.25 = 1,870.53 : x
  2. Step 2: Convert to fraction form
    2,531.76/3,494.25 = 1,870.53/x
  3. Step 3: Cross multiply
    2,531.76x = 3,494.25 × 1,870.53
  4. Step 4: Simplify right side
    2,531.76x = 6,536,099.45
  5. Step 5: Solve for x
    x = 6,536,099.45/2,531.76
  6. Step 6: Final answer
    x = 2,581.64

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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.