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Finding the Fourth Proportional to 1,886.31, 2,601.99 and 1,570.01

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Solution

The fourth proportional to 1,886.31, 2,601.99 and 1,570.01 is: 2,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.31 : 2,601.99 = 1,570.01 : x
  2. Step 2: Convert to fraction form
    1,886.31/2,601.99 = 1,570.01/x
  3. Step 3: Cross multiply
    1,886.31x = 2,601.99 × 1,570.01
  4. Step 4: Simplify right side
    1,886.31x = 4,085,137.31
  5. Step 5: Solve for x
    x = 4,085,137.31/1,886.31
  6. Step 6: Final answer
    x = 2,165.68

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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.