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Finding the Fourth Proportional to 2,307.05, 3,461.18 and 901.49

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Solution

The fourth proportional to 2,307.05, 3,461.18 and 901.49 is: 1,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.05 : 3,461.18 = 901.49 : x
  2. Step 2: Convert to fraction form
    2,307.05/3,461.18 = 901.49/x
  3. Step 3: Cross multiply
    2,307.05x = 3,461.18 × 901.49
  4. Step 4: Simplify right side
    2,307.05x = 3,120,219.16
  5. Step 5: Solve for x
    x = 3,120,219.16/2,307.05
  6. Step 6: Final answer
    x = 1,352.47

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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.