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Finding the Fourth Proportional to 2,430.78, 3,652.47 and 2,123.46

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Solution

The fourth proportional to 2,430.78, 3,652.47 and 2,123.46 is: 3,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.78 : 3,652.47 = 2,123.46 : x
  2. Step 2: Convert to fraction form
    2,430.78/3,652.47 = 2,123.46/x
  3. Step 3: Cross multiply
    2,430.78x = 3,652.47 × 2,123.46
  4. Step 4: Simplify right side
    2,430.78x = 7,755,873.95
  5. Step 5: Solve for x
    x = 7,755,873.95/2,430.78
  6. Step 6: Final answer
    x = 3,190.69

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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.