Home / 1,823.60-2,735.40-525.20

Finding the Fourth Proportional to 1,823.60, 2,735.40 and 525.20

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Solution

The fourth proportional to 1,823.60, 2,735.40 and 525.20 is: 787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.60 : 2,735.40 = 525.20 : x
  2. Step 2: Convert to fraction form
    1,823.60/2,735.40 = 525.20/x
  3. Step 3: Cross multiply
    1,823.60x = 2,735.40 × 525.20
  4. Step 4: Simplify right side
    1,823.60x = 1,436,632.08
  5. Step 5: Solve for x
    x = 1,436,632.08/1,823.60
  6. Step 6: Final answer
    x = 787.80

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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.