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Finding the Fourth Proportional to 4,643.90, 6,965.78 and 1,870.51

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Solution

The fourth proportional to 4,643.90, 6,965.78 and 1,870.51 is: 2,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.90 : 6,965.78 = 1,870.51 : x
  2. Step 2: Convert to fraction form
    4,643.90/6,965.78 = 1,870.51/x
  3. Step 3: Cross multiply
    4,643.90x = 6,965.78 × 1,870.51
  4. Step 4: Simplify right side
    4,643.90x = 13,029,561.15
  5. Step 5: Solve for x
    x = 13,029,561.15/4,643.90
  6. Step 6: Final answer
    x = 2,805.74

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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.