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Finding the Fourth Proportional to 1,882.09, 2,822.04 and 649.16

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Solution

The fourth proportional to 1,882.09, 2,822.04 and 649.16 is: 973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.09 : 2,822.04 = 649.16 : x
  2. Step 2: Convert to fraction form
    1,882.09/2,822.04 = 649.16/x
  3. Step 3: Cross multiply
    1,882.09x = 2,822.04 × 649.16
  4. Step 4: Simplify right side
    1,882.09x = 1,831,967.83
  5. Step 5: Solve for x
    x = 1,831,967.83/1,882.09
  6. Step 6: Final answer
    x = 973.37

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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.