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Finding the Fourth Proportional to 1,408.64, 1,941.76 and 1,015.68

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Solution

The fourth proportional to 1,408.64, 1,941.76 and 1,015.68 is: 1,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.64 : 1,941.76 = 1,015.68 : x
  2. Step 2: Convert to fraction form
    1,408.64/1,941.76 = 1,015.68/x
  3. Step 3: Cross multiply
    1,408.64x = 1,941.76 × 1,015.68
  4. Step 4: Simplify right side
    1,408.64x = 1,972,206.80
  5. Step 5: Solve for x
    x = 1,972,206.80/1,408.64
  6. Step 6: Final answer
    x = 1,400.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.