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Finding the Fourth Proportional to 4,580, 6,870 and 1,292.80

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Solution

The fourth proportional to 4,580, 6,870 and 1,292.80 is: 1,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580 : 6,870 = 1,292.80 : x
  2. Step 2: Convert to fraction form
    4,580/6,870 = 1,292.80/x
  3. Step 3: Cross multiply
    4,580x = 6,870 × 1,292.80
  4. Step 4: Simplify right side
    4,580x = 8,881,536
  5. Step 5: Solve for x
    x = 8,881,536/4,580
  6. Step 6: Final answer
    x = 1,939.20

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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.