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Finding the Fourth Proportional to 1,810.31, 2,498.10 and 1,064.30

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Solution

The fourth proportional to 1,810.31, 2,498.10 and 1,064.30 is: 1,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.31 : 2,498.10 = 1,064.30 : x
  2. Step 2: Convert to fraction form
    1,810.31/2,498.10 = 1,064.30/x
  3. Step 3: Cross multiply
    1,810.31x = 2,498.10 × 1,064.30
  4. Step 4: Simplify right side
    1,810.31x = 2,658,727.83
  5. Step 5: Solve for x
    x = 2,658,727.83/1,810.31
  6. Step 6: Final answer
    x = 1,468.66

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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.