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Finding the Fourth Proportional to 2,410.75, 3,326.29 and 1,416.07

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Solution

The fourth proportional to 2,410.75, 3,326.29 and 1,416.07 is: 1,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.75 : 3,326.29 = 1,416.07 : x
  2. Step 2: Convert to fraction form
    2,410.75/3,326.29 = 1,416.07/x
  3. Step 3: Cross multiply
    2,410.75x = 3,326.29 × 1,416.07
  4. Step 4: Simplify right side
    2,410.75x = 4,710,259.48
  5. Step 5: Solve for x
    x = 4,710,259.48/2,410.75
  6. Step 6: Final answer
    x = 1,953.86

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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.