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Finding the Fourth Proportional to 2,541.34, 3,811.32 and 897.66

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Solution

The fourth proportional to 2,541.34, 3,811.32 and 897.66 is: 1,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.34 : 3,811.32 = 897.66 : x
  2. Step 2: Convert to fraction form
    2,541.34/3,811.32 = 897.66/x
  3. Step 3: Cross multiply
    2,541.34x = 3,811.32 × 897.66
  4. Step 4: Simplify right side
    2,541.34x = 3,421,269.51
  5. Step 5: Solve for x
    x = 3,421,269.51/2,541.34
  6. Step 6: Final answer
    x = 1,346.25

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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.