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Finding the Fourth Proportional to 2,931.02, 4,044.63 and 1,604.64

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Solution

The fourth proportional to 2,931.02, 4,044.63 and 1,604.64 is: 2,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.02 : 4,044.63 = 1,604.64 : x
  2. Step 2: Convert to fraction form
    2,931.02/4,044.63 = 1,604.64/x
  3. Step 3: Cross multiply
    2,931.02x = 4,044.63 × 1,604.64
  4. Step 4: Simplify right side
    2,931.02x = 6,490,196.27
  5. Step 5: Solve for x
    x = 6,490,196.27/2,931.02
  6. Step 6: Final answer
    x = 2,214.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.