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Finding the Fourth Proportional to 1,389.60, 1,919.48 and 1,111.77

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Solution

The fourth proportional to 1,389.60, 1,919.48 and 1,111.77 is: 1,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.60 : 1,919.48 = 1,111.77 : x
  2. Step 2: Convert to fraction form
    1,389.60/1,919.48 = 1,111.77/x
  3. Step 3: Cross multiply
    1,389.60x = 1,919.48 × 1,111.77
  4. Step 4: Simplify right side
    1,389.60x = 2,134,014.72
  5. Step 5: Solve for x
    x = 2,134,014.72/1,389.60
  6. Step 6: Final answer
    x = 1,535.70

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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.