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Finding the Fourth Proportional to 1,712.61, 2,363.45 and 1,040.19

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Solution

The fourth proportional to 1,712.61, 2,363.45 and 1,040.19 is: 1,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.61 : 2,363.45 = 1,040.19 : x
  2. Step 2: Convert to fraction form
    1,712.61/2,363.45 = 1,040.19/x
  3. Step 3: Cross multiply
    1,712.61x = 2,363.45 × 1,040.19
  4. Step 4: Simplify right side
    1,712.61x = 2,458,441.74
  5. Step 5: Solve for x
    x = 2,458,441.74/1,712.61
  6. Step 6: Final answer
    x = 1,435.49

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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.