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Finding the Fourth Proportional to 2,354.48, 3,527.82 and 1,657.76

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Solution

The fourth proportional to 2,354.48, 3,527.82 and 1,657.76 is: 2,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.48 : 3,527.82 = 1,657.76 : x
  2. Step 2: Convert to fraction form
    2,354.48/3,527.82 = 1,657.76/x
  3. Step 3: Cross multiply
    2,354.48x = 3,527.82 × 1,657.76
  4. Step 4: Simplify right side
    2,354.48x = 5,848,261.24
  5. Step 5: Solve for x
    x = 5,848,261.24/2,354.48
  6. Step 6: Final answer
    x = 2,483.89

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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.