Home / 1,535.20-2,118.78-975.76

Finding the Fourth Proportional to 1,535.20, 2,118.78 and 975.76

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Solution

The fourth proportional to 1,535.20, 2,118.78 and 975.76 is: 1,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.20 : 2,118.78 = 975.76 : x
  2. Step 2: Convert to fraction form
    1,535.20/2,118.78 = 975.76/x
  3. Step 3: Cross multiply
    1,535.20x = 2,118.78 × 975.76
  4. Step 4: Simplify right side
    1,535.20x = 2,067,420.77
  5. Step 5: Solve for x
    x = 2,067,420.77/1,535.20
  6. Step 6: Final answer
    x = 1,346.68

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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.