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Finding the Fourth Proportional to 2,948.35, 4,420.47 and 1,304.00

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Solution

The fourth proportional to 2,948.35, 4,420.47 and 1,304.00 is: 1,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.35 : 4,420.47 = 1,304.00 : x
  2. Step 2: Convert to fraction form
    2,948.35/4,420.47 = 1,304.00/x
  3. Step 3: Cross multiply
    2,948.35x = 4,420.47 × 1,304.00
  4. Step 4: Simplify right side
    2,948.35x = 5,764,292.24
  5. Step 5: Solve for x
    x = 5,764,292.24/2,948.35
  6. Step 6: Final answer
    x = 1,955.09

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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.