Home / 1,535.40-2,119.50-975.90

Finding the Fourth Proportional to 1,535.40, 2,119.50 and 975.90

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Solution

The fourth proportional to 1,535.40, 2,119.50 and 975.90 is: 1,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.40 : 2,119.50 = 975.90 : x
  2. Step 2: Convert to fraction form
    1,535.40/2,119.50 = 975.90/x
  3. Step 3: Cross multiply
    1,535.40x = 2,119.50 × 975.90
  4. Step 4: Simplify right side
    1,535.40x = 2,068,420.05
  5. Step 5: Solve for x
    x = 2,068,420.05/1,535.40
  6. Step 6: Final answer
    x = 1,347.15

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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.