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Finding the Fourth Proportional to 4,769.40, 7,154.10 and 1,652.93

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Solution

The fourth proportional to 4,769.40, 7,154.10 and 1,652.93 is: 2,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.40 : 7,154.10 = 1,652.93 : x
  2. Step 2: Convert to fraction form
    4,769.40/7,154.10 = 1,652.93/x
  3. Step 3: Cross multiply
    4,769.40x = 7,154.10 × 1,652.93
  4. Step 4: Simplify right side
    4,769.40x = 11,825,226.51
  5. Step 5: Solve for x
    x = 11,825,226.51/4,769.40
  6. Step 6: Final answer
    x = 2,479.40

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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.