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Finding the Fourth Proportional to 1,875.32, 2,824.18 and 1,634.76

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Solution

The fourth proportional to 1,875.32, 2,824.18 and 1,634.76 is: 2,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.32 : 2,824.18 = 1,634.76 : x
  2. Step 2: Convert to fraction form
    1,875.32/2,824.18 = 1,634.76/x
  3. Step 3: Cross multiply
    1,875.32x = 2,824.18 × 1,634.76
  4. Step 4: Simplify right side
    1,875.32x = 4,616,856.50
  5. Step 5: Solve for x
    x = 4,616,856.50/1,875.32
  6. Step 6: Final answer
    x = 2,461.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.