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Finding the Fourth Proportional to 1,508.16, 2,080.74 and 844.92

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Solution

The fourth proportional to 1,508.16, 2,080.74 and 844.92 is: 1,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.16 : 2,080.74 = 844.92 : x
  2. Step 2: Convert to fraction form
    1,508.16/2,080.74 = 844.92/x
  3. Step 3: Cross multiply
    1,508.16x = 2,080.74 × 844.92
  4. Step 4: Simplify right side
    1,508.16x = 1,758,058.84
  5. Step 5: Solve for x
    x = 1,758,058.84/1,508.16
  6. Step 6: Final answer
    x = 1,165.70

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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.