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Finding the Fourth Proportional to 3,044.90, 4,564.64 and 1,484.03

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Solution

The fourth proportional to 3,044.90, 4,564.64 and 1,484.03 is: 2,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.90 : 4,564.64 = 1,484.03 : x
  2. Step 2: Convert to fraction form
    3,044.90/4,564.64 = 1,484.03/x
  3. Step 3: Cross multiply
    3,044.90x = 4,564.64 × 1,484.03
  4. Step 4: Simplify right side
    3,044.90x = 6,774,043.59
  5. Step 5: Solve for x
    x = 6,774,043.59/3,044.90
  6. Step 6: Final answer
    x = 2,224.72

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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.