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Finding the Fourth Proportional to 2,948.80, 4,418.74 and 1,973.16

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Solution

The fourth proportional to 2,948.80, 4,418.74 and 1,973.16 is: 2,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.80 : 4,418.74 = 1,973.16 : x
  2. Step 2: Convert to fraction form
    2,948.80/4,418.74 = 1,973.16/x
  3. Step 3: Cross multiply
    2,948.80x = 4,418.74 × 1,973.16
  4. Step 4: Simplify right side
    2,948.80x = 8,718,881.02
  5. Step 5: Solve for x
    x = 8,718,881.02/2,948.80
  6. Step 6: Final answer
    x = 2,956.76

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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.