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Finding the Fourth Proportional to 2,870.88, 4,306.40 and 1,022.20

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Solution

The fourth proportional to 2,870.88, 4,306.40 and 1,022.20 is: 1,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.88 : 4,306.40 = 1,022.20 : x
  2. Step 2: Convert to fraction form
    2,870.88/4,306.40 = 1,022.20/x
  3. Step 3: Cross multiply
    2,870.88x = 4,306.40 × 1,022.20
  4. Step 4: Simplify right side
    2,870.88x = 4,402,002.08
  5. Step 5: Solve for x
    x = 4,402,002.08/2,870.88
  6. Step 6: Final answer
    x = 1,533.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.