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Finding the Fourth Proportional to 1,398.34, 2,098.05 and 1,036.18

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Solution

The fourth proportional to 1,398.34, 2,098.05 and 1,036.18 is: 1,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.34 : 2,098.05 = 1,036.18 : x
  2. Step 2: Convert to fraction form
    1,398.34/2,098.05 = 1,036.18/x
  3. Step 3: Cross multiply
    1,398.34x = 2,098.05 × 1,036.18
  4. Step 4: Simplify right side
    1,398.34x = 2,173,957.45
  5. Step 5: Solve for x
    x = 2,173,957.45/1,398.34
  6. Step 6: Final answer
    x = 1,554.67

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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.