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Finding the Fourth Proportional to 1,404.74, 2,103.33 and 1,318.16

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Solution

The fourth proportional to 1,404.74, 2,103.33 and 1,318.16 is: 1,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.74 : 2,103.33 = 1,318.16 : x
  2. Step 2: Convert to fraction form
    1,404.74/2,103.33 = 1,318.16/x
  3. Step 3: Cross multiply
    1,404.74x = 2,103.33 × 1,318.16
  4. Step 4: Simplify right side
    1,404.74x = 2,772,525.47
  5. Step 5: Solve for x
    x = 2,772,525.47/1,404.74
  6. Step 6: Final answer
    x = 1,973.69

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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.