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Finding the Fourth Proportional to 2,404.51, 3,317.65 and 1,460.27

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Solution

The fourth proportional to 2,404.51, 3,317.65 and 1,460.27 is: 2,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.51 : 3,317.65 = 1,460.27 : x
  2. Step 2: Convert to fraction form
    2,404.51/3,317.65 = 1,460.27/x
  3. Step 3: Cross multiply
    2,404.51x = 3,317.65 × 1,460.27
  4. Step 4: Simplify right side
    2,404.51x = 4,844,664.77
  5. Step 5: Solve for x
    x = 4,844,664.77/2,404.51
  6. Step 6: Final answer
    x = 2,014.82

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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.