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Finding the Fourth Proportional to 1,428.92, 1,970.70 and 1,098.16

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Solution

The fourth proportional to 1,428.92, 1,970.70 and 1,098.16 is: 1,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.92 : 1,970.70 = 1,098.16 : x
  2. Step 2: Convert to fraction form
    1,428.92/1,970.70 = 1,098.16/x
  3. Step 3: Cross multiply
    1,428.92x = 1,970.70 × 1,098.16
  4. Step 4: Simplify right side
    1,428.92x = 2,164,143.91
  5. Step 5: Solve for x
    x = 2,164,143.91/1,428.92
  6. Step 6: Final answer
    x = 1,514.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.