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Finding the Fourth Proportional to 1,880.16, 2,819.61 and 647.55

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Solution

The fourth proportional to 1,880.16, 2,819.61 and 647.55 is: 971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.16 : 2,819.61 = 647.55 : x
  2. Step 2: Convert to fraction form
    1,880.16/2,819.61 = 647.55/x
  3. Step 3: Cross multiply
    1,880.16x = 2,819.61 × 647.55
  4. Step 4: Simplify right side
    1,880.16x = 1,825,838.46
  5. Step 5: Solve for x
    x = 1,825,838.46/1,880.16
  6. Step 6: Final answer
    x = 971.11

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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.