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Finding the Fourth Proportional to 1,438.60, 2,157.90 and 1,009.48

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Solution

The fourth proportional to 1,438.60, 2,157.90 and 1,009.48 is: 1,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.60 : 2,157.90 = 1,009.48 : x
  2. Step 2: Convert to fraction form
    1,438.60/2,157.90 = 1,009.48/x
  3. Step 3: Cross multiply
    1,438.60x = 2,157.90 × 1,009.48
  4. Step 4: Simplify right side
    1,438.60x = 2,178,356.89
  5. Step 5: Solve for x
    x = 2,178,356.89/1,438.60
  6. Step 6: Final answer
    x = 1,514.22

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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.