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Finding the Fourth Proportional to 3,409.64, 4,705.64 and 2,084.24

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Solution

The fourth proportional to 3,409.64, 4,705.64 and 2,084.24 is: 2,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.64 : 4,705.64 = 2,084.24 : x
  2. Step 2: Convert to fraction form
    3,409.64/4,705.64 = 2,084.24/x
  3. Step 3: Cross multiply
    3,409.64x = 4,705.64 × 2,084.24
  4. Step 4: Simplify right side
    3,409.64x = 9,807,683.11
  5. Step 5: Solve for x
    x = 9,807,683.11/3,409.64
  6. Step 6: Final answer
    x = 2,876.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.