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Finding the Fourth Proportional to 2,326.97, 3,210.48 and 1,429.76

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Solution

The fourth proportional to 2,326.97, 3,210.48 and 1,429.76 is: 1,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.97 : 3,210.48 = 1,429.76 : x
  2. Step 2: Convert to fraction form
    2,326.97/3,210.48 = 1,429.76/x
  3. Step 3: Cross multiply
    2,326.97x = 3,210.48 × 1,429.76
  4. Step 4: Simplify right side
    2,326.97x = 4,590,199.83
  5. Step 5: Solve for x
    x = 4,590,199.83/2,326.97
  6. Step 6: Final answer
    x = 1,972.61

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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.