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Finding the Fourth Proportional to 2,016.30, 3,023.54 and 975.51

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Solution

The fourth proportional to 2,016.30, 3,023.54 and 975.51 is: 1,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.30 : 3,023.54 = 975.51 : x
  2. Step 2: Convert to fraction form
    2,016.30/3,023.54 = 975.51/x
  3. Step 3: Cross multiply
    2,016.30x = 3,023.54 × 975.51
  4. Step 4: Simplify right side
    2,016.30x = 2,949,492.29
  5. Step 5: Solve for x
    x = 2,949,492.29/2,016.30
  6. Step 6: Final answer
    x = 1,462.82

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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.