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Finding the Fourth Proportional to 2,307.40, 3,460.46 and 663.50

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Solution

The fourth proportional to 2,307.40, 3,460.46 and 663.50 is: 995.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.40 : 3,460.46 = 663.50 : x
  2. Step 2: Convert to fraction form
    2,307.40/3,460.46 = 663.50/x
  3. Step 3: Cross multiply
    2,307.40x = 3,460.46 × 663.50
  4. Step 4: Simplify right side
    2,307.40x = 2,296,015.21
  5. Step 5: Solve for x
    x = 2,296,015.21/2,307.40
  6. Step 6: Final answer
    x = 995.07

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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.