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Finding the Fourth Proportional to 2,307.01, 3,461.12 and 1,211.08

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Solution

The fourth proportional to 2,307.01, 3,461.12 and 1,211.08 is: 1,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.01 : 3,461.12 = 1,211.08 : x
  2. Step 2: Convert to fraction form
    2,307.01/3,461.12 = 1,211.08/x
  3. Step 3: Cross multiply
    2,307.01x = 3,461.12 × 1,211.08
  4. Step 4: Simplify right side
    2,307.01x = 4,191,693.21
  5. Step 5: Solve for x
    x = 4,191,693.21/2,307.01
  6. Step 6: Final answer
    x = 1,816.94

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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.