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Finding the Fourth Proportional to 2,307.36, 3,460.62 and 663.50

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Solution

The fourth proportional to 2,307.36, 3,460.62 and 663.50 is: 995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.36 : 3,460.62 = 663.50 : x
  2. Step 2: Convert to fraction form
    2,307.36/3,460.62 = 663.50/x
  3. Step 3: Cross multiply
    2,307.36x = 3,460.62 × 663.50
  4. Step 4: Simplify right side
    2,307.36x = 2,296,137.38
  5. Step 5: Solve for x
    x = 2,296,137.38/2,307.36
  6. Step 6: Final answer
    x = 995.14

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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.