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Finding the Fourth Proportional to 2,156.76, 3,235.41 and 924.35

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Solution

The fourth proportional to 2,156.76, 3,235.41 and 924.35 is: 1,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.76 : 3,235.41 = 924.35 : x
  2. Step 2: Convert to fraction form
    2,156.76/3,235.41 = 924.35/x
  3. Step 3: Cross multiply
    2,156.76x = 3,235.41 × 924.35
  4. Step 4: Simplify right side
    2,156.76x = 2,990,635.06
  5. Step 5: Solve for x
    x = 2,990,635.06/2,156.76
  6. Step 6: Final answer
    x = 1,386.63

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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.