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Finding the Fourth Proportional to 1,752.57, 2,418.71 and 1,309.70

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Solution

The fourth proportional to 1,752.57, 2,418.71 and 1,309.70 is: 1,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.57 : 2,418.71 = 1,309.70 : x
  2. Step 2: Convert to fraction form
    1,752.57/2,418.71 = 1,309.70/x
  3. Step 3: Cross multiply
    1,752.57x = 2,418.71 × 1,309.70
  4. Step 4: Simplify right side
    1,752.57x = 3,167,784.74
  5. Step 5: Solve for x
    x = 3,167,784.74/1,752.57
  6. Step 6: Final answer
    x = 1,807.51

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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.