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Finding the Fourth Proportional to 1,838.68, 2,758.30 and 1,017.32

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Solution

The fourth proportional to 1,838.68, 2,758.30 and 1,017.32 is: 1,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.68 : 2,758.30 = 1,017.32 : x
  2. Step 2: Convert to fraction form
    1,838.68/2,758.30 = 1,017.32/x
  3. Step 3: Cross multiply
    1,838.68x = 2,758.30 × 1,017.32
  4. Step 4: Simplify right side
    1,838.68x = 2,806,073.76
  5. Step 5: Solve for x
    x = 2,806,073.76/1,838.68
  6. Step 6: Final answer
    x = 1,526.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.