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Finding the Fourth Proportional to 3,430.54, 5,146.67 and 1,870.12

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Solution

The fourth proportional to 3,430.54, 5,146.67 and 1,870.12 is: 2,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.54 : 5,146.67 = 1,870.12 : x
  2. Step 2: Convert to fraction form
    3,430.54/5,146.67 = 1,870.12/x
  3. Step 3: Cross multiply
    3,430.54x = 5,146.67 × 1,870.12
  4. Step 4: Simplify right side
    3,430.54x = 9,624,890.50
  5. Step 5: Solve for x
    x = 9,624,890.50/3,430.54
  6. Step 6: Final answer
    x = 2,805.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.