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Finding the Fourth Proportional to 1,577.88, 2,355.48 and 1,252.80

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Solution

The fourth proportional to 1,577.88, 2,355.48 and 1,252.80 is: 1,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.88 : 2,355.48 = 1,252.80 : x
  2. Step 2: Convert to fraction form
    1,577.88/2,355.48 = 1,252.80/x
  3. Step 3: Cross multiply
    1,577.88x = 2,355.48 × 1,252.80
  4. Step 4: Simplify right side
    1,577.88x = 2,950,945.34
  5. Step 5: Solve for x
    x = 2,950,945.34/1,577.88
  6. Step 6: Final answer
    x = 1,870.20

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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.