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Finding the Fourth Proportional to 2,366.83, 3,264.01 and 1,870.65

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Solution

The fourth proportional to 2,366.83, 3,264.01 and 1,870.65 is: 2,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.83 : 3,264.01 = 1,870.65 : x
  2. Step 2: Convert to fraction form
    2,366.83/3,264.01 = 1,870.65/x
  3. Step 3: Cross multiply
    2,366.83x = 3,264.01 × 1,870.65
  4. Step 4: Simplify right side
    2,366.83x = 6,105,827.87
  5. Step 5: Solve for x
    x = 6,105,827.87/2,366.83
  6. Step 6: Final answer
    x = 2,579.75

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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.