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Finding the Fourth Proportional to 1,777.49, 2,453.19 and 1,281.77

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Solution

The fourth proportional to 1,777.49, 2,453.19 and 1,281.77 is: 1,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.49 : 2,453.19 = 1,281.77 : x
  2. Step 2: Convert to fraction form
    1,777.49/2,453.19 = 1,281.77/x
  3. Step 3: Cross multiply
    1,777.49x = 2,453.19 × 1,281.77
  4. Step 4: Simplify right side
    1,777.49x = 3,144,417.47
  5. Step 5: Solve for x
    x = 3,144,417.47/1,777.49
  6. Step 6: Final answer
    x = 1,769.02

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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.