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Finding the Fourth Proportional to 2,870.60, 4,284.97 and 2,525

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Solution

The fourth proportional to 2,870.60, 4,284.97 and 2,525 is: 3,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.60 : 4,284.97 = 2,525 : x
  2. Step 2: Convert to fraction form
    2,870.60/4,284.97 = 2,525/x
  3. Step 3: Cross multiply
    2,870.60x = 4,284.97 × 2,525
  4. Step 4: Simplify right side
    2,870.60x = 10,819,549.25
  5. Step 5: Solve for x
    x = 10,819,549.25/2,870.60
  6. Step 6: Final answer
    x = 3,769.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.