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Finding the Fourth Proportional to 1,871.58, 2,585.07 and 1,284.06

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Solution

The fourth proportional to 1,871.58, 2,585.07 and 1,284.06 is: 1,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.58 : 2,585.07 = 1,284.06 : x
  2. Step 2: Convert to fraction form
    1,871.58/2,585.07 = 1,284.06/x
  3. Step 3: Cross multiply
    1,871.58x = 2,585.07 × 1,284.06
  4. Step 4: Simplify right side
    1,871.58x = 3,319,384.98
  5. Step 5: Solve for x
    x = 3,319,384.98/1,871.58
  6. Step 6: Final answer
    x = 1,773.57

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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.