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Finding the Fourth Proportional to 2,497.88, 3,746.46 and 1,458.37

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Solution

The fourth proportional to 2,497.88, 3,746.46 and 1,458.37 is: 2,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.88 : 3,746.46 = 1,458.37 : x
  2. Step 2: Convert to fraction form
    2,497.88/3,746.46 = 1,458.37/x
  3. Step 3: Cross multiply
    2,497.88x = 3,746.46 × 1,458.37
  4. Step 4: Simplify right side
    2,497.88x = 5,463,724.87
  5. Step 5: Solve for x
    x = 5,463,724.87/2,497.88
  6. Step 6: Final answer
    x = 2,187.34

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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.