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Finding the Fourth Proportional to 1,663.70, 2,295.12 and 1,065.90

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Solution

The fourth proportional to 1,663.70, 2,295.12 and 1,065.90 is: 1,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.70 : 2,295.12 = 1,065.90 : x
  2. Step 2: Convert to fraction form
    1,663.70/2,295.12 = 1,065.90/x
  3. Step 3: Cross multiply
    1,663.70x = 2,295.12 × 1,065.90
  4. Step 4: Simplify right side
    1,663.70x = 2,446,368.41
  5. Step 5: Solve for x
    x = 2,446,368.41/1,663.70
  6. Step 6: Final answer
    x = 1,470.44

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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.