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Finding the Fourth Proportional to 2,535.72, 3,499.43 and 1,416.66

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Solution

The fourth proportional to 2,535.72, 3,499.43 and 1,416.66 is: 1,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.72 : 3,499.43 = 1,416.66 : x
  2. Step 2: Convert to fraction form
    2,535.72/3,499.43 = 1,416.66/x
  3. Step 3: Cross multiply
    2,535.72x = 3,499.43 × 1,416.66
  4. Step 4: Simplify right side
    2,535.72x = 4,957,502.50
  5. Step 5: Solve for x
    x = 4,957,502.50/2,535.72
  6. Step 6: Final answer
    x = 1,955.07

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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.