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Finding the Fourth Proportional to 3,098.69, 4,648.61 and 1,018.81

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Solution

The fourth proportional to 3,098.69, 4,648.61 and 1,018.81 is: 1,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.69 : 4,648.61 = 1,018.81 : x
  2. Step 2: Convert to fraction form
    3,098.69/4,648.61 = 1,018.81/x
  3. Step 3: Cross multiply
    3,098.69x = 4,648.61 × 1,018.81
  4. Step 4: Simplify right side
    3,098.69x = 4,736,045.26
  5. Step 5: Solve for x
    x = 4,736,045.26/3,098.69
  6. Step 6: Final answer
    x = 1,528.40

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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.