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Finding the Fourth Proportional to 1,310.76, 1,973.94 and 1,182.24

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Solution

The fourth proportional to 1,310.76, 1,973.94 and 1,182.24 is: 1,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.76 : 1,973.94 = 1,182.24 : x
  2. Step 2: Convert to fraction form
    1,310.76/1,973.94 = 1,182.24/x
  3. Step 3: Cross multiply
    1,310.76x = 1,973.94 × 1,182.24
  4. Step 4: Simplify right side
    1,310.76x = 2,333,670.83
  5. Step 5: Solve for x
    x = 2,333,670.83/1,310.76
  6. Step 6: Final answer
    x = 1,780.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.