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Finding the Fourth Proportional to 2,947.54, 4,421.28 and 1,386.54

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Solution

The fourth proportional to 2,947.54, 4,421.28 and 1,386.54 is: 2,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.54 : 4,421.28 = 1,386.54 : x
  2. Step 2: Convert to fraction form
    2,947.54/4,421.28 = 1,386.54/x
  3. Step 3: Cross multiply
    2,947.54x = 4,421.28 × 1,386.54
  4. Step 4: Simplify right side
    2,947.54x = 6,130,281.57
  5. Step 5: Solve for x
    x = 6,130,281.57/2,947.54
  6. Step 6: Final answer
    x = 2,079.80

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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.