Home / 1,474.08-2,210.40-824.64

Finding the Fourth Proportional to 1,474.08, 2,210.40 and 824.64

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Solution

The fourth proportional to 1,474.08, 2,210.40 and 824.64 is: 1,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.08 : 2,210.40 = 824.64 : x
  2. Step 2: Convert to fraction form
    1,474.08/2,210.40 = 824.64/x
  3. Step 3: Cross multiply
    1,474.08x = 2,210.40 × 824.64
  4. Step 4: Simplify right side
    1,474.08x = 1,822,784.26
  5. Step 5: Solve for x
    x = 1,822,784.26/1,474.08
  6. Step 6: Final answer
    x = 1,236.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.