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Finding the Fourth Proportional to 2,592.52, 3,578.45 and 1,848.64

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Solution

The fourth proportional to 2,592.52, 3,578.45 and 1,848.64 is: 2,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.52 : 3,578.45 = 1,848.64 : x
  2. Step 2: Convert to fraction form
    2,592.52/3,578.45 = 1,848.64/x
  3. Step 3: Cross multiply
    2,592.52x = 3,578.45 × 1,848.64
  4. Step 4: Simplify right side
    2,592.52x = 6,615,265.81
  5. Step 5: Solve for x
    x = 6,615,265.81/2,592.52
  6. Step 6: Final answer
    x = 2,551.67

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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.