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Finding the Fourth Proportional to 4,580.26, 6,870.02 and 1,460.14

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Solution

The fourth proportional to 4,580.26, 6,870.02 and 1,460.14 is: 2,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.26 : 6,870.02 = 1,460.14 : x
  2. Step 2: Convert to fraction form
    4,580.26/6,870.02 = 1,460.14/x
  3. Step 3: Cross multiply
    4,580.26x = 6,870.02 × 1,460.14
  4. Step 4: Simplify right side
    4,580.26x = 10,031,191.00
  5. Step 5: Solve for x
    x = 10,031,191.00/4,580.26
  6. Step 6: Final answer
    x = 2,190.09

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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.