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Finding the Fourth Proportional to 2,156.25, 3,235.04 and 1,498.80

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Solution

The fourth proportional to 2,156.25, 3,235.04 and 1,498.80 is: 2,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.25 : 3,235.04 = 1,498.80 : x
  2. Step 2: Convert to fraction form
    2,156.25/3,235.04 = 1,498.80/x
  3. Step 3: Cross multiply
    2,156.25x = 3,235.04 × 1,498.80
  4. Step 4: Simplify right side
    2,156.25x = 4,848,670.46
  5. Step 5: Solve for x
    x = 4,848,670.46/2,156.25
  6. Step 6: Final answer
    x = 2,248.66

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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.