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Finding the Fourth Proportional to 2,058.29, 2,840.84 and 1,560.06

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Solution

The fourth proportional to 2,058.29, 2,840.84 and 1,560.06 is: 2,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.29 : 2,840.84 = 1,560.06 : x
  2. Step 2: Convert to fraction form
    2,058.29/2,840.84 = 1,560.06/x
  3. Step 3: Cross multiply
    2,058.29x = 2,840.84 × 1,560.06
  4. Step 4: Simplify right side
    2,058.29x = 4,431,880.85
  5. Step 5: Solve for x
    x = 4,431,880.85/2,058.29
  6. Step 6: Final answer
    x = 2,153.19

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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.