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Finding the Fourth Proportional to 1,870.43, 2,580.89 and 1,310.72

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Solution

The fourth proportional to 1,870.43, 2,580.89 and 1,310.72 is: 1,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.43 : 2,580.89 = 1,310.72 : x
  2. Step 2: Convert to fraction form
    1,870.43/2,580.89 = 1,310.72/x
  3. Step 3: Cross multiply
    1,870.43x = 2,580.89 × 1,310.72
  4. Step 4: Simplify right side
    1,870.43x = 3,382,804.68
  5. Step 5: Solve for x
    x = 3,382,804.68/1,870.43
  6. Step 6: Final answer
    x = 1,808.58

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