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Finding the Fourth Proportional to 2,008.60, 3,009.30 and 1,641.40

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Solution

The fourth proportional to 2,008.60, 3,009.30 and 1,641.40 is: 2,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.60 : 3,009.30 = 1,641.40 : x
  2. Step 2: Convert to fraction form
    2,008.60/3,009.30 = 1,641.40/x
  3. Step 3: Cross multiply
    2,008.60x = 3,009.30 × 1,641.40
  4. Step 4: Simplify right side
    2,008.60x = 4,939,465.02
  5. Step 5: Solve for x
    x = 4,939,465.02/2,008.60
  6. Step 6: Final answer
    x = 2,459.16

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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.