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Finding the Fourth Proportional to 4,970.61, 7,455.68 and 1,460.48

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Solution

The fourth proportional to 4,970.61, 7,455.68 and 1,460.48 is: 2,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.61 : 7,455.68 = 1,460.48 : x
  2. Step 2: Convert to fraction form
    4,970.61/7,455.68 = 1,460.48/x
  3. Step 3: Cross multiply
    4,970.61x = 7,455.68 × 1,460.48
  4. Step 4: Simplify right side
    4,970.61x = 10,888,832.42
  5. Step 5: Solve for x
    x = 10,888,832.42/4,970.61
  6. Step 6: Final answer
    x = 2,190.64

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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.