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Finding the Fourth Proportional to 1,811.76, 2,498.04 and 1,531.50

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Solution

The fourth proportional to 1,811.76, 2,498.04 and 1,531.50 is: 2,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.76 : 2,498.04 = 1,531.50 : x
  2. Step 2: Convert to fraction form
    1,811.76/2,498.04 = 1,531.50/x
  3. Step 3: Cross multiply
    1,811.76x = 2,498.04 × 1,531.50
  4. Step 4: Simplify right side
    1,811.76x = 3,825,748.26
  5. Step 5: Solve for x
    x = 3,825,748.26/1,811.76
  6. Step 6: Final answer
    x = 2,111.62

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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.