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Finding the Fourth Proportional to 1,810.82, 2,499.54 and 1,065.00

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Solution

The fourth proportional to 1,810.82, 2,499.54 and 1,065.00 is: 1,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.82 : 2,499.54 = 1,065.00 : x
  2. Step 2: Convert to fraction form
    1,810.82/2,499.54 = 1,065.00/x
  3. Step 3: Cross multiply
    1,810.82x = 2,499.54 × 1,065.00
  4. Step 4: Simplify right side
    1,810.82x = 2,662,007.41
  5. Step 5: Solve for x
    x = 2,662,007.41/1,810.82
  6. Step 6: Final answer
    x = 1,470.05

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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.