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Finding the Fourth Proportional to 3,430.79, 5,143.10 and 1,580.95

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Solution

The fourth proportional to 3,430.79, 5,143.10 and 1,580.95 is: 2,370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.79 : 5,143.10 = 1,580.95 : x
  2. Step 2: Convert to fraction form
    3,430.79/5,143.10 = 1,580.95/x
  3. Step 3: Cross multiply
    3,430.79x = 5,143.10 × 1,580.95
  4. Step 4: Simplify right side
    3,430.79x = 8,130,982.47
  5. Step 5: Solve for x
    x = 8,130,982.47/3,430.79
  6. Step 6: Final answer
    x = 2,370.00

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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.