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Finding the Fourth Proportional to 1,287.04, 1,919.26 and 1,275.35

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Solution

The fourth proportional to 1,287.04, 1,919.26 and 1,275.35 is: 1,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.04 : 1,919.26 = 1,275.35 : x
  2. Step 2: Convert to fraction form
    1,287.04/1,919.26 = 1,275.35/x
  3. Step 3: Cross multiply
    1,287.04x = 1,919.26 × 1,275.35
  4. Step 4: Simplify right side
    1,287.04x = 2,447,728.24
  5. Step 5: Solve for x
    x = 2,447,728.24/1,287.04
  6. Step 6: Final answer
    x = 1,901.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.