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Finding the Fourth Proportional to 2,864.88, 3,952.53 and 1,802.16

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Solution

The fourth proportional to 2,864.88, 3,952.53 and 1,802.16 is: 2,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.88 : 3,952.53 = 1,802.16 : x
  2. Step 2: Convert to fraction form
    2,864.88/3,952.53 = 1,802.16/x
  3. Step 3: Cross multiply
    2,864.88x = 3,952.53 × 1,802.16
  4. Step 4: Simplify right side
    2,864.88x = 7,123,091.46
  5. Step 5: Solve for x
    x = 7,123,091.46/2,864.88
  6. Step 6: Final answer
    x = 2,486.35

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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.