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Finding the Fourth Proportional to 1,756.10, 2,633.28 and 934.15

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Solution

The fourth proportional to 1,756.10, 2,633.28 and 934.15 is: 1,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.10 : 2,633.28 = 934.15 : x
  2. Step 2: Convert to fraction form
    1,756.10/2,633.28 = 934.15/x
  3. Step 3: Cross multiply
    1,756.10x = 2,633.28 × 934.15
  4. Step 4: Simplify right side
    1,756.10x = 2,459,873.36
  5. Step 5: Solve for x
    x = 2,459,873.36/1,756.10
  6. Step 6: Final answer
    x = 1,400.76

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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.