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Finding the Fourth Proportional to 2,717.32, 4,075.74 and 985.96

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Solution

The fourth proportional to 2,717.32, 4,075.74 and 985.96 is: 1,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.32 : 4,075.74 = 985.96 : x
  2. Step 2: Convert to fraction form
    2,717.32/4,075.74 = 985.96/x
  3. Step 3: Cross multiply
    2,717.32x = 4,075.74 × 985.96
  4. Step 4: Simplify right side
    2,717.32x = 4,018,516.61
  5. Step 5: Solve for x
    x = 4,018,516.61/2,717.32
  6. Step 6: Final answer
    x = 1,478.85

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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.