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Finding the Fourth Proportional to 1,541.93, 2,127.08 and 912.15

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Solution

The fourth proportional to 1,541.93, 2,127.08 and 912.15 is: 1,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.93 : 2,127.08 = 912.15 : x
  2. Step 2: Convert to fraction form
    1,541.93/2,127.08 = 912.15/x
  3. Step 3: Cross multiply
    1,541.93x = 2,127.08 × 912.15
  4. Step 4: Simplify right side
    1,541.93x = 1,940,218.30
  5. Step 5: Solve for x
    x = 1,940,218.30/1,541.93
  6. Step 6: Final answer
    x = 1,258.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.