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Finding the Fourth Proportional to 1,366.20, 1,886.58 and 1,156.20

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Solution

The fourth proportional to 1,366.20, 1,886.58 and 1,156.20 is: 1,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.20 : 1,886.58 = 1,156.20 : x
  2. Step 2: Convert to fraction form
    1,366.20/1,886.58 = 1,156.20/x
  3. Step 3: Cross multiply
    1,366.20x = 1,886.58 × 1,156.20
  4. Step 4: Simplify right side
    1,366.20x = 2,181,263.80
  5. Step 5: Solve for x
    x = 2,181,263.80/1,366.20
  6. Step 6: Final answer
    x = 1,596.59

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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.