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Finding the Fourth Proportional to 2,267.73, 3,130.65 and 1,429.65

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Solution

The fourth proportional to 2,267.73, 3,130.65 and 1,429.65 is: 1,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.73 : 3,130.65 = 1,429.65 : x
  2. Step 2: Convert to fraction form
    2,267.73/3,130.65 = 1,429.65/x
  3. Step 3: Cross multiply
    2,267.73x = 3,130.65 × 1,429.65
  4. Step 4: Simplify right side
    2,267.73x = 4,475,733.77
  5. Step 5: Solve for x
    x = 4,475,733.77/2,267.73
  6. Step 6: Final answer
    x = 1,973.66

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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.