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Finding the Fourth Proportional to 1,752.06, 2,407.56 and 1,402.14

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Solution

The fourth proportional to 1,752.06, 2,407.56 and 1,402.14 is: 1,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.06 : 2,407.56 = 1,402.14 : x
  2. Step 2: Convert to fraction form
    1,752.06/2,407.56 = 1,402.14/x
  3. Step 3: Cross multiply
    1,752.06x = 2,407.56 × 1,402.14
  4. Step 4: Simplify right side
    1,752.06x = 3,375,736.18
  5. Step 5: Solve for x
    x = 3,375,736.18/1,752.06
  6. Step 6: Final answer
    x = 1,926.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.