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Finding the Fourth Proportional to 2,948.98, 4,069.56 and 2,064.46

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Solution

The fourth proportional to 2,948.98, 4,069.56 and 2,064.46 is: 2,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.98 : 4,069.56 = 2,064.46 : x
  2. Step 2: Convert to fraction form
    2,948.98/4,069.56 = 2,064.46/x
  3. Step 3: Cross multiply
    2,948.98x = 4,069.56 × 2,064.46
  4. Step 4: Simplify right side
    2,948.98x = 8,401,443.84
  5. Step 5: Solve for x
    x = 8,401,443.84/2,948.98
  6. Step 6: Final answer
    x = 2,848.93

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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.