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Finding the Fourth Proportional to 2,715.64, 4,074.14 and 1,482.72

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Solution

The fourth proportional to 2,715.64, 4,074.14 and 1,482.72 is: 2,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.64 : 4,074.14 = 1,482.72 : x
  2. Step 2: Convert to fraction form
    2,715.64/4,074.14 = 1,482.72/x
  3. Step 3: Cross multiply
    2,715.64x = 4,074.14 × 1,482.72
  4. Step 4: Simplify right side
    2,715.64x = 6,040,808.86
  5. Step 5: Solve for x
    x = 6,040,808.86/2,715.64
  6. Step 6: Final answer
    x = 2,224.45

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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.