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Finding the Fourth Proportional to 1,626.24, 2,437.93 and 586.00

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Solution

The fourth proportional to 1,626.24, 2,437.93 and 586.00 is: 878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.24 : 2,437.93 = 586.00 : x
  2. Step 2: Convert to fraction form
    1,626.24/2,437.93 = 586.00/x
  3. Step 3: Cross multiply
    1,626.24x = 2,437.93 × 586.00
  4. Step 4: Simplify right side
    1,626.24x = 1,428,630.76
  5. Step 5: Solve for x
    x = 1,428,630.76/1,626.24
  6. Step 6: Final answer
    x = 878.49

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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.