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Finding the Fourth Proportional to 1,596.52, 2,203.16 and 924.23

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Solution

The fourth proportional to 1,596.52, 2,203.16 and 924.23 is: 1,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.52 : 2,203.16 = 924.23 : x
  2. Step 2: Convert to fraction form
    1,596.52/2,203.16 = 924.23/x
  3. Step 3: Cross multiply
    1,596.52x = 2,203.16 × 924.23
  4. Step 4: Simplify right side
    1,596.52x = 2,036,226.57
  5. Step 5: Solve for x
    x = 2,036,226.57/1,596.52
  6. Step 6: Final answer
    x = 1,275.42

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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.