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Finding the Fourth Proportional to 4,561.68, 6,842.53 and 1,098.93

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Solution

The fourth proportional to 4,561.68, 6,842.53 and 1,098.93 is: 1,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.68 : 6,842.53 = 1,098.93 : x
  2. Step 2: Convert to fraction form
    4,561.68/6,842.53 = 1,098.93/x
  3. Step 3: Cross multiply
    4,561.68x = 6,842.53 × 1,098.93
  4. Step 4: Simplify right side
    4,561.68x = 7,519,461.49
  5. Step 5: Solve for x
    x = 7,519,461.49/4,561.68
  6. Step 6: Final answer
    x = 1,648.40

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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.