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Finding the Fourth Proportional to 1,721.96, 2,582.68 and 552.10

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Solution

The fourth proportional to 1,721.96, 2,582.68 and 552.10 is: 828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.96 : 2,582.68 = 552.10 : x
  2. Step 2: Convert to fraction form
    1,721.96/2,582.68 = 552.10/x
  3. Step 3: Cross multiply
    1,721.96x = 2,582.68 × 552.10
  4. Step 4: Simplify right side
    1,721.96x = 1,425,897.63
  5. Step 5: Solve for x
    x = 1,425,897.63/1,721.96
  6. Step 6: Final answer
    x = 828.07

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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.