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Finding the Fourth Proportional to 3,312.06, 4,971.15 and 1,364.40

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Solution

The fourth proportional to 3,312.06, 4,971.15 and 1,364.40 is: 2,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.06 : 4,971.15 = 1,364.40 : x
  2. Step 2: Convert to fraction form
    3,312.06/4,971.15 = 1,364.40/x
  3. Step 3: Cross multiply
    3,312.06x = 4,971.15 × 1,364.40
  4. Step 4: Simplify right side
    3,312.06x = 6,782,637.06
  5. Step 5: Solve for x
    x = 6,782,637.06/3,312.06
  6. Step 6: Final answer
    x = 2,047.86

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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.