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Finding the Fourth Proportional to 2,538.34, 3,807.14 and 894.67

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Solution

The fourth proportional to 2,538.34, 3,807.14 and 894.67 is: 1,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.34 : 3,807.14 = 894.67 : x
  2. Step 2: Convert to fraction form
    2,538.34/3,807.14 = 894.67/x
  3. Step 3: Cross multiply
    2,538.34x = 3,807.14 × 894.67
  4. Step 4: Simplify right side
    2,538.34x = 3,406,119.95
  5. Step 5: Solve for x
    x = 3,406,119.95/2,538.34
  6. Step 6: Final answer
    x = 1,341.87

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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.