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Finding the Fourth Proportional to 2,715.42, 4,071.90 and 1,070.70

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Solution

The fourth proportional to 2,715.42, 4,071.90 and 1,070.70 is: 1,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.42 : 4,071.90 = 1,070.70 : x
  2. Step 2: Convert to fraction form
    2,715.42/4,071.90 = 1,070.70/x
  3. Step 3: Cross multiply
    2,715.42x = 4,071.90 × 1,070.70
  4. Step 4: Simplify right side
    2,715.42x = 4,359,783.33
  5. Step 5: Solve for x
    x = 4,359,783.33/2,715.42
  6. Step 6: Final answer
    x = 1,605.57

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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.