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Finding the Fourth Proportional to 2,970.68, 4,466.14 and 2,426.81

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Solution

The fourth proportional to 2,970.68, 4,466.14 and 2,426.81 is: 3,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.68 : 4,466.14 = 2,426.81 : x
  2. Step 2: Convert to fraction form
    2,970.68/4,466.14 = 2,426.81/x
  3. Step 3: Cross multiply
    2,970.68x = 4,466.14 × 2,426.81
  4. Step 4: Simplify right side
    2,970.68x = 10,838,444.82
  5. Step 5: Solve for x
    x = 10,838,444.82/2,970.68
  6. Step 6: Final answer
    x = 3,648.48

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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.