Home / 1,764.16-2,429.12-1,567.33

Finding the Fourth Proportional to 1,764.16, 2,429.12 and 1,567.33

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Solution

The fourth proportional to 1,764.16, 2,429.12 and 1,567.33 is: 2,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.16 : 2,429.12 = 1,567.33 : x
  2. Step 2: Convert to fraction form
    1,764.16/2,429.12 = 1,567.33/x
  3. Step 3: Cross multiply
    1,764.16x = 2,429.12 × 1,567.33
  4. Step 4: Simplify right side
    1,764.16x = 3,807,232.65
  5. Step 5: Solve for x
    x = 3,807,232.65/1,764.16
  6. Step 6: Final answer
    x = 2,158.10

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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.