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Finding the Fourth Proportional to 1,880.29, 2,819.74 and 647.36

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Solution

The fourth proportional to 1,880.29, 2,819.74 and 647.36 is: 970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.29 : 2,819.74 = 647.36 : x
  2. Step 2: Convert to fraction form
    1,880.29/2,819.74 = 647.36/x
  3. Step 3: Cross multiply
    1,880.29x = 2,819.74 × 647.36
  4. Step 4: Simplify right side
    1,880.29x = 1,825,386.89
  5. Step 5: Solve for x
    x = 1,825,386.89/1,880.29
  6. Step 6: Final answer
    x = 970.80

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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.