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Finding the Fourth Proportional to 1,806.48, 2,710.54 and 1,777.36

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Solution

The fourth proportional to 1,806.48, 2,710.54 and 1,777.36 is: 2,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.48 : 2,710.54 = 1,777.36 : x
  2. Step 2: Convert to fraction form
    1,806.48/2,710.54 = 1,777.36/x
  3. Step 3: Cross multiply
    1,806.48x = 2,710.54 × 1,777.36
  4. Step 4: Simplify right side
    1,806.48x = 4,817,605.37
  5. Step 5: Solve for x
    x = 4,817,605.37/1,806.48
  6. Step 6: Final answer
    x = 2,666.85

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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.