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Finding the Fourth Proportional to 1,296.18, 1,941.15 and 808.62

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Solution

The fourth proportional to 1,296.18, 1,941.15 and 808.62 is: 1,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.18 : 1,941.15 = 808.62 : x
  2. Step 2: Convert to fraction form
    1,296.18/1,941.15 = 808.62/x
  3. Step 3: Cross multiply
    1,296.18x = 1,941.15 × 808.62
  4. Step 4: Simplify right side
    1,296.18x = 1,569,652.71
  5. Step 5: Solve for x
    x = 1,569,652.71/1,296.18
  6. Step 6: Final answer
    x = 1,210.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.