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Finding the Fourth Proportional to 2,013.55, 2,782.17 and 1,663.63

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Solution

The fourth proportional to 2,013.55, 2,782.17 and 1,663.63 is: 2,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.55 : 2,782.17 = 1,663.63 : x
  2. Step 2: Convert to fraction form
    2,013.55/2,782.17 = 1,663.63/x
  3. Step 3: Cross multiply
    2,013.55x = 2,782.17 × 1,663.63
  4. Step 4: Simplify right side
    2,013.55x = 4,628,501.48
  5. Step 5: Solve for x
    x = 4,628,501.48/2,013.55
  6. Step 6: Final answer
    x = 2,298.68

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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.