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Finding the Fourth Proportional to 1,810.47, 2,498.31 and 1,064.46

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Solution

The fourth proportional to 1,810.47, 2,498.31 and 1,064.46 is: 1,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.47 : 2,498.31 = 1,064.46 : x
  2. Step 2: Convert to fraction form
    1,810.47/2,498.31 = 1,064.46/x
  3. Step 3: Cross multiply
    1,810.47x = 2,498.31 × 1,064.46
  4. Step 4: Simplify right side
    1,810.47x = 2,659,351.06
  5. Step 5: Solve for x
    x = 2,659,351.06/1,810.47
  6. Step 6: Final answer
    x = 1,468.87

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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.