Home / 1,535.19-2,303.36-919.34

Finding the Fourth Proportional to 1,535.19, 2,303.36 and 919.34

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Solution

The fourth proportional to 1,535.19, 2,303.36 and 919.34 is: 1,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.19 : 2,303.36 = 919.34 : x
  2. Step 2: Convert to fraction form
    1,535.19/2,303.36 = 919.34/x
  3. Step 3: Cross multiply
    1,535.19x = 2,303.36 × 919.34
  4. Step 4: Simplify right side
    1,535.19x = 2,117,554.87
  5. Step 5: Solve for x
    x = 2,117,554.87/1,535.19
  6. Step 6: Final answer
    x = 1,379.34

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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.