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Finding the Fourth Proportional to 1,756.29, 2,422.66 and 1,135.29

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Solution

The fourth proportional to 1,756.29, 2,422.66 and 1,135.29 is: 1,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.29 : 2,422.66 = 1,135.29 : x
  2. Step 2: Convert to fraction form
    1,756.29/2,422.66 = 1,135.29/x
  3. Step 3: Cross multiply
    1,756.29x = 2,422.66 × 1,135.29
  4. Step 4: Simplify right side
    1,756.29x = 2,750,421.67
  5. Step 5: Solve for x
    x = 2,750,421.67/1,756.29
  6. Step 6: Final answer
    x = 1,566.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.