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Finding the Fourth Proportional to 2,309.64, 3,459.04 and 2,004

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Solution

The fourth proportional to 2,309.64, 3,459.04 and 2,004 is: 3,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.64 : 3,459.04 = 2,004 : x
  2. Step 2: Convert to fraction form
    2,309.64/3,459.04 = 2,004/x
  3. Step 3: Cross multiply
    2,309.64x = 3,459.04 × 2,004
  4. Step 4: Simplify right side
    2,309.64x = 6,931,916.16
  5. Step 5: Solve for x
    x = 6,931,916.16/2,309.64
  6. Step 6: Final answer
    x = 3,001.30

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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.