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Finding the Fourth Proportional to 1,541.04, 2,127.08 and 878.25

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Solution

The fourth proportional to 1,541.04, 2,127.08 and 878.25 is: 1,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.04 : 2,127.08 = 878.25 : x
  2. Step 2: Convert to fraction form
    1,541.04/2,127.08 = 878.25/x
  3. Step 3: Cross multiply
    1,541.04x = 2,127.08 × 878.25
  4. Step 4: Simplify right side
    1,541.04x = 1,868,108.01
  5. Step 5: Solve for x
    x = 1,868,108.01/1,541.04
  6. Step 6: Final answer
    x = 1,212.24

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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.