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Finding the Fourth Proportional to 2,159.98, 2,981.00 and 1,275.75

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Solution

The fourth proportional to 2,159.98, 2,981.00 and 1,275.75 is: 1,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.98 : 2,981.00 = 1,275.75 : x
  2. Step 2: Convert to fraction form
    2,159.98/2,981.00 = 1,275.75/x
  3. Step 3: Cross multiply
    2,159.98x = 2,981.00 × 1,275.75
  4. Step 4: Simplify right side
    2,159.98x = 3,803,013.94
  5. Step 5: Solve for x
    x = 3,803,013.94/2,159.98
  6. Step 6: Final answer
    x = 1,760.67

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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.