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Finding the Fourth Proportional to 1,812.79, 2,718.98 and 580.08

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Solution

The fourth proportional to 1,812.79, 2,718.98 and 580.08 is: 870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.79 : 2,718.98 = 580.08 : x
  2. Step 2: Convert to fraction form
    1,812.79/2,718.98 = 580.08/x
  3. Step 3: Cross multiply
    1,812.79x = 2,718.98 × 580.08
  4. Step 4: Simplify right side
    1,812.79x = 1,577,225.92
  5. Step 5: Solve for x
    x = 1,577,225.92/1,812.79
  6. Step 6: Final answer
    x = 870.05

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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.