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Finding the Fourth Proportional to 2,854.32, 4,279.05 and 2,718.24

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Solution

The fourth proportional to 2,854.32, 4,279.05 and 2,718.24 is: 4,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.32 : 4,279.05 = 2,718.24 : x
  2. Step 2: Convert to fraction form
    2,854.32/4,279.05 = 2,718.24/x
  3. Step 3: Cross multiply
    2,854.32x = 4,279.05 × 2,718.24
  4. Step 4: Simplify right side
    2,854.32x = 11,631,484.87
  5. Step 5: Solve for x
    x = 11,631,484.87/2,854.32
  6. Step 6: Final answer
    x = 4,075.05

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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.