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Finding the Fourth Proportional to 1,275.98, 1,911.45 and 1,126.10

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Solution

The fourth proportional to 1,275.98, 1,911.45 and 1,126.10 is: 1,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.98 : 1,911.45 = 1,126.10 : x
  2. Step 2: Convert to fraction form
    1,275.98/1,911.45 = 1,126.10/x
  3. Step 3: Cross multiply
    1,275.98x = 1,911.45 × 1,126.10
  4. Step 4: Simplify right side
    1,275.98x = 2,152,483.85
  5. Step 5: Solve for x
    x = 2,152,483.85/1,275.98
  6. Step 6: Final answer
    x = 1,686.93

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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.