Home / 2,784.40-3,841.28-1,605.24

Finding the Fourth Proportional to 2,784.40, 3,841.28 and 1,605.24

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Solution

The fourth proportional to 2,784.40, 3,841.28 and 1,605.24 is: 2,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.40 : 3,841.28 = 1,605.24 : x
  2. Step 2: Convert to fraction form
    2,784.40/3,841.28 = 1,605.24/x
  3. Step 3: Cross multiply
    2,784.40x = 3,841.28 × 1,605.24
  4. Step 4: Simplify right side
    2,784.40x = 6,166,176.31
  5. Step 5: Solve for x
    x = 6,166,176.31/2,784.40
  6. Step 6: Final answer
    x = 2,214.54

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1.5x scale

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.