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Finding the Fourth Proportional to 2,098.95, 3,148.67 and 712.50

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Solution

The fourth proportional to 2,098.95, 3,148.67 and 712.50 is: 1,068.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.95 : 3,148.67 = 712.50 : x
  2. Step 2: Convert to fraction form
    2,098.95/3,148.67 = 712.50/x
  3. Step 3: Cross multiply
    2,098.95x = 3,148.67 × 712.50
  4. Step 4: Simplify right side
    2,098.95x = 2,243,427.38
  5. Step 5: Solve for x
    x = 2,243,427.38/2,098.95
  6. Step 6: Final answer
    x = 1,068.83

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Why These Related Problems?

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