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Finding the Fourth Proportional to 4,176.02, 6,263.49 and 1,098.02

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Solution

The fourth proportional to 4,176.02, 6,263.49 and 1,098.02 is: 1,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.02 : 6,263.49 = 1,098.02 : x
  2. Step 2: Convert to fraction form
    4,176.02/6,263.49 = 1,098.02/x
  3. Step 3: Cross multiply
    4,176.02x = 6,263.49 × 1,098.02
  4. Step 4: Simplify right side
    4,176.02x = 6,877,437.29
  5. Step 5: Solve for x
    x = 6,877,437.29/4,176.02
  6. Step 6: Final answer
    x = 1,646.89

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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.