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Finding the Fourth Proportional to 1,748.48, 2,412.47 and 1,040.14

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Solution

The fourth proportional to 1,748.48, 2,412.47 and 1,040.14 is: 1,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.48 : 2,412.47 = 1,040.14 : x
  2. Step 2: Convert to fraction form
    1,748.48/2,412.47 = 1,040.14/x
  3. Step 3: Cross multiply
    1,748.48x = 2,412.47 × 1,040.14
  4. Step 4: Simplify right side
    1,748.48x = 2,509,289.28
  5. Step 5: Solve for x
    x = 2,509,289.28/1,748.48
  6. Step 6: Final answer
    x = 1,435.13

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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.