Home / 1,496.23-2,065.75-1,024.92

Finding the Fourth Proportional to 1,496.23, 2,065.75 and 1,024.92

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Solution

The fourth proportional to 1,496.23, 2,065.75 and 1,024.92 is: 1,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.23 : 2,065.75 = 1,024.92 : x
  2. Step 2: Convert to fraction form
    1,496.23/2,065.75 = 1,024.92/x
  3. Step 3: Cross multiply
    1,496.23x = 2,065.75 × 1,024.92
  4. Step 4: Simplify right side
    1,496.23x = 2,117,225.93
  5. Step 5: Solve for x
    x = 2,117,225.93/1,496.23
  6. Step 6: Final answer
    x = 1,415.04

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Why These Related Problems?

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