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Finding the Fourth Proportional to 1,541.80, 2,312.70 and 894.20

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Solution

The fourth proportional to 1,541.80, 2,312.70 and 894.20 is: 1,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.80 : 2,312.70 = 894.20 : x
  2. Step 2: Convert to fraction form
    1,541.80/2,312.70 = 894.20/x
  3. Step 3: Cross multiply
    1,541.80x = 2,312.70 × 894.20
  4. Step 4: Simplify right side
    1,541.80x = 2,068,016.34
  5. Step 5: Solve for x
    x = 2,068,016.34/1,541.80
  6. Step 6: Final answer
    x = 1,341.30

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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.