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Finding the Fourth Proportional to 1,758.85, 2,650.34 and 1,457.46

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Solution

The fourth proportional to 1,758.85, 2,650.34 and 1,457.46 is: 2,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.85 : 2,650.34 = 1,457.46 : x
  2. Step 2: Convert to fraction form
    1,758.85/2,650.34 = 1,457.46/x
  3. Step 3: Cross multiply
    1,758.85x = 2,650.34 × 1,457.46
  4. Step 4: Simplify right side
    1,758.85x = 3,862,768.18
  5. Step 5: Solve for x
    x = 3,862,768.18/1,758.85
  6. Step 6: Final answer
    x = 2,196.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.