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Finding the Fourth Proportional to 1,808.02, 2,710.17 and 697.13

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Solution

The fourth proportional to 1,808.02, 2,710.17 and 697.13 is: 1,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.02 : 2,710.17 = 697.13 : x
  2. Step 2: Convert to fraction form
    1,808.02/2,710.17 = 697.13/x
  3. Step 3: Cross multiply
    1,808.02x = 2,710.17 × 697.13
  4. Step 4: Simplify right side
    1,808.02x = 1,889,340.81
  5. Step 5: Solve for x
    x = 1,889,340.81/1,808.02
  6. Step 6: Final answer
    x = 1,044.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.