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Finding the Fourth Proportional to 2,870.89, 3,962.26 and 1,752.47

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Solution

The fourth proportional to 2,870.89, 3,962.26 and 1,752.47 is: 2,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.89 : 3,962.26 = 1,752.47 : x
  2. Step 2: Convert to fraction form
    2,870.89/3,962.26 = 1,752.47/x
  3. Step 3: Cross multiply
    2,870.89x = 3,962.26 × 1,752.47
  4. Step 4: Simplify right side
    2,870.89x = 6,943,751.45
  5. Step 5: Solve for x
    x = 6,943,751.45/2,870.89
  6. Step 6: Final answer
    x = 2,418.68

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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.