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Finding the Fourth Proportional to 1,498.28, 2,068.74 and 909.61

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Solution

The fourth proportional to 1,498.28, 2,068.74 and 909.61 is: 1,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.28 : 2,068.74 = 909.61 : x
  2. Step 2: Convert to fraction form
    1,498.28/2,068.74 = 909.61/x
  3. Step 3: Cross multiply
    1,498.28x = 2,068.74 × 909.61
  4. Step 4: Simplify right side
    1,498.28x = 1,881,746.59
  5. Step 5: Solve for x
    x = 1,881,746.59/1,498.28
  6. Step 6: Final answer
    x = 1,255.94

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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.