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Finding the Fourth Proportional to 2,560.95, 3,534.30 and 1,442.01

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Solution

The fourth proportional to 2,560.95, 3,534.30 and 1,442.01 is: 1,990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.95 : 3,534.30 = 1,442.01 : x
  2. Step 2: Convert to fraction form
    2,560.95/3,534.30 = 1,442.01/x
  3. Step 3: Cross multiply
    2,560.95x = 3,534.30 × 1,442.01
  4. Step 4: Simplify right side
    2,560.95x = 5,096,495.94
  5. Step 5: Solve for x
    x = 5,096,495.94/2,560.95
  6. Step 6: Final answer
    x = 1,990.08

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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.