Home / 1,652.24-2,281.08-1,032.08

Finding the Fourth Proportional to 1,652.24, 2,281.08 and 1,032.08

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Solution

The fourth proportional to 1,652.24, 2,281.08 and 1,032.08 is: 1,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.24 : 2,281.08 = 1,032.08 : x
  2. Step 2: Convert to fraction form
    1,652.24/2,281.08 = 1,032.08/x
  3. Step 3: Cross multiply
    1,652.24x = 2,281.08 × 1,032.08
  4. Step 4: Simplify right side
    1,652.24x = 2,354,257.05
  5. Step 5: Solve for x
    x = 2,354,257.05/1,652.24
  6. Step 6: Final answer
    x = 1,424.89

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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.