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Finding the Fourth Proportional to 2,058.76, 2,838.90 and 1,638.28

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Solution

The fourth proportional to 2,058.76, 2,838.90 and 1,638.28 is: 2,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.76 : 2,838.90 = 1,638.28 : x
  2. Step 2: Convert to fraction form
    2,058.76/2,838.90 = 1,638.28/x
  3. Step 3: Cross multiply
    2,058.76x = 2,838.90 × 1,638.28
  4. Step 4: Simplify right side
    2,058.76x = 4,650,913.09
  5. Step 5: Solve for x
    x = 4,650,913.09/2,058.76
  6. Step 6: Final answer
    x = 2,259.08

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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.