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Finding the Fourth Proportional to 2,298.04, 3,447.06 and 836.60

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Solution

The fourth proportional to 2,298.04, 3,447.06 and 836.60 is: 1,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.04 : 3,447.06 = 836.60 : x
  2. Step 2: Convert to fraction form
    2,298.04/3,447.06 = 836.60/x
  3. Step 3: Cross multiply
    2,298.04x = 3,447.06 × 836.60
  4. Step 4: Simplify right side
    2,298.04x = 2,883,790.02
  5. Step 5: Solve for x
    x = 2,883,790.02/2,298.04
  6. Step 6: Final answer
    x = 1,254.89

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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.