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Finding the Fourth Proportional to 2,432.08, 3,647.94 and 970.30

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Solution

The fourth proportional to 2,432.08, 3,647.94 and 970.30 is: 1,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.08 : 3,647.94 = 970.30 : x
  2. Step 2: Convert to fraction form
    2,432.08/3,647.94 = 970.30/x
  3. Step 3: Cross multiply
    2,432.08x = 3,647.94 × 970.30
  4. Step 4: Simplify right side
    2,432.08x = 3,539,596.18
  5. Step 5: Solve for x
    x = 3,539,596.18/2,432.08
  6. Step 6: Final answer
    x = 1,455.38

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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.