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Finding the Fourth Proportional to 1,752.67, 2,418.86 and 1,309.80

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Solution

The fourth proportional to 1,752.67, 2,418.86 and 1,309.80 is: 1,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.67 : 2,418.86 = 1,309.80 : x
  2. Step 2: Convert to fraction form
    1,752.67/2,418.86 = 1,309.80/x
  3. Step 3: Cross multiply
    1,752.67x = 2,418.86 × 1,309.80
  4. Step 4: Simplify right side
    1,752.67x = 3,168,222.83
  5. Step 5: Solve for x
    x = 3,168,222.83/1,752.67
  6. Step 6: Final answer
    x = 1,807.66

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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.