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Finding the Fourth Proportional to 1,870.18, 2,578.10 and 1,308.92

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Solution

The fourth proportional to 1,870.18, 2,578.10 and 1,308.92 is: 1,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.18 : 2,578.10 = 1,308.92 : x
  2. Step 2: Convert to fraction form
    1,870.18/2,578.10 = 1,308.92/x
  3. Step 3: Cross multiply
    1,870.18x = 2,578.10 × 1,308.92
  4. Step 4: Simplify right side
    1,870.18x = 3,374,526.65
  5. Step 5: Solve for x
    x = 3,374,526.65/1,870.18
  6. Step 6: Final answer
    x = 1,804.39

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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.