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Finding the Fourth Proportional to 2,866.48, 3,954.84 and 1,607.35

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Solution

The fourth proportional to 2,866.48, 3,954.84 and 1,607.35 is: 2,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.48 : 3,954.84 = 1,607.35 : x
  2. Step 2: Convert to fraction form
    2,866.48/3,954.84 = 1,607.35/x
  3. Step 3: Cross multiply
    2,866.48x = 3,954.84 × 1,607.35
  4. Step 4: Simplify right side
    2,866.48x = 6,356,812.07
  5. Step 5: Solve for x
    x = 6,356,812.07/2,866.48
  6. Step 6: Final answer
    x = 2,217.64

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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.