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Finding the Fourth Proportional to 2,420.68, 3,633.04 and 1,106.40

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Solution

The fourth proportional to 2,420.68, 3,633.04 and 1,106.40 is: 1,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.68 : 3,633.04 = 1,106.40 : x
  2. Step 2: Convert to fraction form
    2,420.68/3,633.04 = 1,106.40/x
  3. Step 3: Cross multiply
    2,420.68x = 3,633.04 × 1,106.40
  4. Step 4: Simplify right side
    2,420.68x = 4,019,595.46
  5. Step 5: Solve for x
    x = 4,019,595.46/2,420.68
  6. Step 6: Final answer
    x = 1,660.52

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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.