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Finding the Fourth Proportional to 1,582.92, 2,184.82 and 962.44

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Solution

The fourth proportional to 1,582.92, 2,184.82 and 962.44 is: 1,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.92 : 2,184.82 = 962.44 : x
  2. Step 2: Convert to fraction form
    1,582.92/2,184.82 = 962.44/x
  3. Step 3: Cross multiply
    1,582.92x = 2,184.82 × 962.44
  4. Step 4: Simplify right side
    1,582.92x = 2,102,758.16
  5. Step 5: Solve for x
    x = 2,102,758.16/1,582.92
  6. Step 6: Final answer
    x = 1,328.40

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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.