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Finding the Fourth Proportional to 2,188.44, 3,282.10 and 649.08

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Solution

The fourth proportional to 2,188.44, 3,282.10 and 649.08 is: 973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.44 : 3,282.10 = 649.08 : x
  2. Step 2: Convert to fraction form
    2,188.44/3,282.10 = 649.08/x
  3. Step 3: Cross multiply
    2,188.44x = 3,282.10 × 649.08
  4. Step 4: Simplify right side
    2,188.44x = 2,130,345.47
  5. Step 5: Solve for x
    x = 2,130,345.47/2,188.44
  6. Step 6: Final answer
    x = 973.45

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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.