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Finding the Fourth Proportional to 1,348.83, 1,860.95 and 817.92

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Solution

The fourth proportional to 1,348.83, 1,860.95 and 817.92 is: 1,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.83 : 1,860.95 = 817.92 : x
  2. Step 2: Convert to fraction form
    1,348.83/1,860.95 = 817.92/x
  3. Step 3: Cross multiply
    1,348.83x = 1,860.95 × 817.92
  4. Step 4: Simplify right side
    1,348.83x = 1,522,106.46
  5. Step 5: Solve for x
    x = 1,522,106.46/1,348.83
  6. Step 6: Final answer
    x = 1,128.47

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