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Finding the Fourth Proportional to 1,809.23, 2,714.34 and 885.30

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Solution

The fourth proportional to 1,809.23, 2,714.34 and 885.30 is: 1,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.23 : 2,714.34 = 885.30 : x
  2. Step 2: Convert to fraction form
    1,809.23/2,714.34 = 885.30/x
  3. Step 3: Cross multiply
    1,809.23x = 2,714.34 × 885.30
  4. Step 4: Simplify right side
    1,809.23x = 2,403,005.20
  5. Step 5: Solve for x
    x = 2,403,005.20/1,809.23
  6. Step 6: Final answer
    x = 1,328.20

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1.5x scale

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.