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Finding the Fourth Proportional to 1,865.93, 2,574.98 and 1,026.71

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Solution

The fourth proportional to 1,865.93, 2,574.98 and 1,026.71 is: 1,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.93 : 2,574.98 = 1,026.71 : x
  2. Step 2: Convert to fraction form
    1,865.93/2,574.98 = 1,026.71/x
  3. Step 3: Cross multiply
    1,865.93x = 2,574.98 × 1,026.71
  4. Step 4: Simplify right side
    1,865.93x = 2,643,739.71
  5. Step 5: Solve for x
    x = 2,643,739.71/1,865.93
  6. Step 6: Final answer
    x = 1,416.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.