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Finding the Fourth Proportional to 2,972, 4,094.88 and 2,085.32

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Solution

The fourth proportional to 2,972, 4,094.88 and 2,085.32 is: 2,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972 : 4,094.88 = 2,085.32 : x
  2. Step 2: Convert to fraction form
    2,972/4,094.88 = 2,085.32/x
  3. Step 3: Cross multiply
    2,972x = 4,094.88 × 2,085.32
  4. Step 4: Simplify right side
    2,972x = 8,539,135.16
  5. Step 5: Solve for x
    x = 8,539,135.16/2,972
  6. Step 6: Final answer
    x = 2,873.19

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