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Finding the Fourth Proportional to 2,864.40, 3,952.01 and 1,854.51

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Solution

The fourth proportional to 2,864.40, 3,952.01 and 1,854.51 is: 2,558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.40 : 3,952.01 = 1,854.51 : x
  2. Step 2: Convert to fraction form
    2,864.40/3,952.01 = 1,854.51/x
  3. Step 3: Cross multiply
    2,864.40x = 3,952.01 × 1,854.51
  4. Step 4: Simplify right side
    2,864.40x = 7,329,017.97
  5. Step 5: Solve for x
    x = 7,329,017.97/2,864.40
  6. Step 6: Final answer
    x = 2,558.66

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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.