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Finding the Fourth Proportional to 1,498.85, 2,068.56 and 901.54

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Solution

The fourth proportional to 1,498.85, 2,068.56 and 901.54 is: 1,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.85 : 2,068.56 = 901.54 : x
  2. Step 2: Convert to fraction form
    1,498.85/2,068.56 = 901.54/x
  3. Step 3: Cross multiply
    1,498.85x = 2,068.56 × 901.54
  4. Step 4: Simplify right side
    1,498.85x = 1,864,879.24
  5. Step 5: Solve for x
    x = 1,864,879.24/1,498.85
  6. Step 6: Final answer
    x = 1,244.21

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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.