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Finding the Fourth Proportional to 2,316.02, 3,473.47 and 672.12

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Solution

The fourth proportional to 2,316.02, 3,473.47 and 672.12 is: 1,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.02 : 3,473.47 = 672.12 : x
  2. Step 2: Convert to fraction form
    2,316.02/3,473.47 = 672.12/x
  3. Step 3: Cross multiply
    2,316.02x = 3,473.47 × 672.12
  4. Step 4: Simplify right side
    2,316.02x = 2,334,588.66
  5. Step 5: Solve for x
    x = 2,334,588.66/2,316.02
  6. Step 6: Final answer
    x = 1,008.02

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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.