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Finding the Fourth Proportional to 4,307.02, 6,460.62 and 1,674.70

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Solution

The fourth proportional to 4,307.02, 6,460.62 and 1,674.70 is: 2,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.02 : 6,460.62 = 1,674.70 : x
  2. Step 2: Convert to fraction form
    4,307.02/6,460.62 = 1,674.70/x
  3. Step 3: Cross multiply
    4,307.02x = 6,460.62 × 1,674.70
  4. Step 4: Simplify right side
    4,307.02x = 10,819,600.31
  5. Step 5: Solve for x
    x = 10,819,600.31/4,307.02
  6. Step 6: Final answer
    x = 2,512.08

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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.