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Finding the Fourth Proportional to 2,079.88, 2,870.30 and 1,148.36

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Solution

The fourth proportional to 2,079.88, 2,870.30 and 1,148.36 is: 1,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.88 : 2,870.30 = 1,148.36 : x
  2. Step 2: Convert to fraction form
    2,079.88/2,870.30 = 1,148.36/x
  3. Step 3: Cross multiply
    2,079.88x = 2,870.30 × 1,148.36
  4. Step 4: Simplify right side
    2,079.88x = 3,296,137.71
  5. Step 5: Solve for x
    x = 3,296,137.71/2,079.88
  6. Step 6: Final answer
    x = 1,584.77

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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.