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Finding the Fourth Proportional to 2,309.95, 3,465.27 and 848.76

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Solution

The fourth proportional to 2,309.95, 3,465.27 and 848.76 is: 1,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.95 : 3,465.27 = 848.76 : x
  2. Step 2: Convert to fraction form
    2,309.95/3,465.27 = 848.76/x
  3. Step 3: Cross multiply
    2,309.95x = 3,465.27 × 848.76
  4. Step 4: Simplify right side
    2,309.95x = 2,941,182.57
  5. Step 5: Solve for x
    x = 2,941,182.57/2,309.95
  6. Step 6: Final answer
    x = 1,273.27

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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.