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Finding the Fourth Proportional to 2,127.98, 3,186.50 and 1,303.76

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Solution

The fourth proportional to 2,127.98, 3,186.50 and 1,303.76 is: 1,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.98 : 3,186.50 = 1,303.76 : x
  2. Step 2: Convert to fraction form
    2,127.98/3,186.50 = 1,303.76/x
  3. Step 3: Cross multiply
    2,127.98x = 3,186.50 × 1,303.76
  4. Step 4: Simplify right side
    2,127.98x = 4,154,442.47
  5. Step 5: Solve for x
    x = 4,154,442.47/2,127.98
  6. Step 6: Final answer
    x = 1,952.29

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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.