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Finding the Fourth Proportional to 2,715.58, 4,070.97 and 1,175.74

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Solution

The fourth proportional to 2,715.58, 4,070.97 and 1,175.74 is: 1,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.58 : 4,070.97 = 1,175.74 : x
  2. Step 2: Convert to fraction form
    2,715.58/4,070.97 = 1,175.74/x
  3. Step 3: Cross multiply
    2,715.58x = 4,070.97 × 1,175.74
  4. Step 4: Simplify right side
    2,715.58x = 4,786,402.27
  5. Step 5: Solve for x
    x = 4,786,402.27/2,715.58
  6. Step 6: Final answer
    x = 1,762.57

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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.