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Finding the Fourth Proportional to 4,265.25, 6,401.52 and 1,670.01

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Solution

The fourth proportional to 4,265.25, 6,401.52 and 1,670.01 is: 2,506.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.25 : 6,401.52 = 1,670.01 : x
  2. Step 2: Convert to fraction form
    4,265.25/6,401.52 = 1,670.01/x
  3. Step 3: Cross multiply
    4,265.25x = 6,401.52 × 1,670.01
  4. Step 4: Simplify right side
    4,265.25x = 10,690,602.42
  5. Step 5: Solve for x
    x = 10,690,602.42/4,265.25
  6. Step 6: Final answer
    x = 2,506.44

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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.