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Finding the Fourth Proportional to 1,598.18, 2,398.24 and 867.74

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Solution

The fourth proportional to 1,598.18, 2,398.24 and 867.74 is: 1,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.18 : 2,398.24 = 867.74 : x
  2. Step 2: Convert to fraction form
    1,598.18/2,398.24 = 867.74/x
  3. Step 3: Cross multiply
    1,598.18x = 2,398.24 × 867.74
  4. Step 4: Simplify right side
    1,598.18x = 2,081,048.78
  5. Step 5: Solve for x
    x = 2,081,048.78/1,598.18
  6. Step 6: Final answer
    x = 1,302.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.