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Finding the Fourth Proportional to 2,101.32, 3,152.30 and 695.30

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Solution

The fourth proportional to 2,101.32, 3,152.30 and 695.30 is: 1,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.32 : 3,152.30 = 695.30 : x
  2. Step 2: Convert to fraction form
    2,101.32/3,152.30 = 695.30/x
  3. Step 3: Cross multiply
    2,101.32x = 3,152.30 × 695.30
  4. Step 4: Simplify right side
    2,101.32x = 2,191,774.95
  5. Step 5: Solve for x
    x = 2,191,774.95/2,101.32
  6. Step 6: Final answer
    x = 1,043.05

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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.