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Finding the Fourth Proportional to 1,498.03, 2,068.14 and 1,002.31

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Solution

The fourth proportional to 1,498.03, 2,068.14 and 1,002.31 is: 1,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.03 : 2,068.14 = 1,002.31 : x
  2. Step 2: Convert to fraction form
    1,498.03/2,068.14 = 1,002.31/x
  3. Step 3: Cross multiply
    1,498.03x = 2,068.14 × 1,002.31
  4. Step 4: Simplify right side
    1,498.03x = 2,072,917.40
  5. Step 5: Solve for x
    x = 2,072,917.40/1,498.03
  6. Step 6: Final answer
    x = 1,383.76

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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.