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Finding the Fourth Proportional to 1,886.63, 2,601.72 and 1,710.05

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Solution

The fourth proportional to 1,886.63, 2,601.72 and 1,710.05 is: 2,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.63 : 2,601.72 = 1,710.05 : x
  2. Step 2: Convert to fraction form
    1,886.63/2,601.72 = 1,710.05/x
  3. Step 3: Cross multiply
    1,886.63x = 2,601.72 × 1,710.05
  4. Step 4: Simplify right side
    1,886.63x = 4,449,058.28
  5. Step 5: Solve for x
    x = 4,449,058.28/1,886.63
  6. Step 6: Final answer
    x = 2,358.21

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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.