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Finding the Fourth Proportional to 2,077.40, 3,116.10 and 538.40

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Solution

The fourth proportional to 2,077.40, 3,116.10 and 538.40 is: 807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.40 : 3,116.10 = 538.40 : x
  2. Step 2: Convert to fraction form
    2,077.40/3,116.10 = 538.40/x
  3. Step 3: Cross multiply
    2,077.40x = 3,116.10 × 538.40
  4. Step 4: Simplify right side
    2,077.40x = 1,677,708.24
  5. Step 5: Solve for x
    x = 1,677,708.24/2,077.40
  6. Step 6: Final answer
    x = 807.60

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Why These Related Problems?

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