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Finding the Fourth Proportional to 2,079.96, 2,870.54 and 1,148.76

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Solution

The fourth proportional to 2,079.96, 2,870.54 and 1,148.76 is: 1,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.96 : 2,870.54 = 1,148.76 : x
  2. Step 2: Convert to fraction form
    2,079.96/2,870.54 = 1,148.76/x
  3. Step 3: Cross multiply
    2,079.96x = 2,870.54 × 1,148.76
  4. Step 4: Simplify right side
    2,079.96x = 3,297,561.53
  5. Step 5: Solve for x
    x = 3,297,561.53/2,079.96
  6. Step 6: Final answer
    x = 1,585.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.