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Finding the Fourth Proportional to 1,596.32, 2,202.95 and 888.17

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Solution

The fourth proportional to 1,596.32, 2,202.95 and 888.17 is: 1,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.32 : 2,202.95 = 888.17 : x
  2. Step 2: Convert to fraction form
    1,596.32/2,202.95 = 888.17/x
  3. Step 3: Cross multiply
    1,596.32x = 2,202.95 × 888.17
  4. Step 4: Simplify right side
    1,596.32x = 1,956,598.90
  5. Step 5: Solve for x
    x = 1,956,598.90/1,596.32
  6. Step 6: Final answer
    x = 1,225.70

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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.