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Finding the Fourth Proportional to 2,101.95, 3,152.93 and 1,372.14

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Solution

The fourth proportional to 2,101.95, 3,152.93 and 1,372.14 is: 2,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.95 : 3,152.93 = 1,372.14 : x
  2. Step 2: Convert to fraction form
    2,101.95/3,152.93 = 1,372.14/x
  3. Step 3: Cross multiply
    2,101.95x = 3,152.93 × 1,372.14
  4. Step 4: Simplify right side
    2,101.95x = 4,326,254.51
  5. Step 5: Solve for x
    x = 4,326,254.51/2,101.95
  6. Step 6: Final answer
    x = 2,058.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.