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Finding the Fourth Proportional to 1,870.64, 2,580.66 and 1,310.91

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Solution

The fourth proportional to 1,870.64, 2,580.66 and 1,310.91 is: 1,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.64 : 2,580.66 = 1,310.91 : x
  2. Step 2: Convert to fraction form
    1,870.64/2,580.66 = 1,310.91/x
  3. Step 3: Cross multiply
    1,870.64x = 2,580.66 × 1,310.91
  4. Step 4: Simplify right side
    1,870.64x = 3,383,010.58
  5. Step 5: Solve for x
    x = 3,383,010.58/1,870.64
  6. Step 6: Final answer
    x = 1,808.47

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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.