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Finding the Fourth Proportional to 2,307.02, 3,459.81 and 663.12

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Solution

The fourth proportional to 2,307.02, 3,459.81 and 663.12 is: 994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.02 : 3,459.81 = 663.12 : x
  2. Step 2: Convert to fraction form
    2,307.02/3,459.81 = 663.12/x
  3. Step 3: Cross multiply
    2,307.02x = 3,459.81 × 663.12
  4. Step 4: Simplify right side
    2,307.02x = 2,294,271.69
  5. Step 5: Solve for x
    x = 2,294,271.69/2,307.02
  6. Step 6: Final answer
    x = 994.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.