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Finding the Fourth Proportional to 1,756.56, 2,424.18 and 1,010.52

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Solution

The fourth proportional to 1,756.56, 2,424.18 and 1,010.52 is: 1,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.56 : 2,424.18 = 1,010.52 : x
  2. Step 2: Convert to fraction form
    1,756.56/2,424.18 = 1,010.52/x
  3. Step 3: Cross multiply
    1,756.56x = 2,424.18 × 1,010.52
  4. Step 4: Simplify right side
    1,756.56x = 2,449,682.37
  5. Step 5: Solve for x
    x = 2,449,682.37/1,756.56
  6. Step 6: Final answer
    x = 1,394.59

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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.