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Finding the Fourth Proportional to 3,170.09, 4,756.16 and 1,526.76

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Solution

The fourth proportional to 3,170.09, 4,756.16 and 1,526.76 is: 2,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.09 : 4,756.16 = 1,526.76 : x
  2. Step 2: Convert to fraction form
    3,170.09/4,756.16 = 1,526.76/x
  3. Step 3: Cross multiply
    3,170.09x = 4,756.16 × 1,526.76
  4. Step 4: Simplify right side
    3,170.09x = 7,261,518.66
  5. Step 5: Solve for x
    x = 7,261,518.66/3,170.09
  6. Step 6: Final answer
    x = 2,290.63

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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.