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Finding the Fourth Proportional to 1,726.57, 2,577.34 and 1,598.10

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Solution

The fourth proportional to 1,726.57, 2,577.34 and 1,598.10 is: 2,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.57 : 2,577.34 = 1,598.10 : x
  2. Step 2: Convert to fraction form
    1,726.57/2,577.34 = 1,598.10/x
  3. Step 3: Cross multiply
    1,726.57x = 2,577.34 × 1,598.10
  4. Step 4: Simplify right side
    1,726.57x = 4,118,847.05
  5. Step 5: Solve for x
    x = 4,118,847.05/1,726.57
  6. Step 6: Final answer
    x = 2,385.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.