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Finding the Fourth Proportional to 2,678.48, 4,019.52 and 947.08

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Solution

The fourth proportional to 2,678.48, 4,019.52 and 947.08 is: 1,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.48 : 4,019.52 = 947.08 : x
  2. Step 2: Convert to fraction form
    2,678.48/4,019.52 = 947.08/x
  3. Step 3: Cross multiply
    2,678.48x = 4,019.52 × 947.08
  4. Step 4: Simplify right side
    2,678.48x = 3,806,807.00
  5. Step 5: Solve for x
    x = 3,806,807.00/2,678.48
  6. Step 6: Final answer
    x = 1,421.26

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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.