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Finding the Fourth Proportional to 4,970.26, 7,456.54 and 1,460.32

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Solution

The fourth proportional to 4,970.26, 7,456.54 and 1,460.32 is: 2,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.26 : 7,456.54 = 1,460.32 : x
  2. Step 2: Convert to fraction form
    4,970.26/7,456.54 = 1,460.32/x
  3. Step 3: Cross multiply
    4,970.26x = 7,456.54 × 1,460.32
  4. Step 4: Simplify right side
    4,970.26x = 10,888,934.49
  5. Step 5: Solve for x
    x = 10,888,934.49/4,970.26
  6. Step 6: Final answer
    x = 2,190.82

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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.