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Finding the Fourth Proportional to 1,617.90, 2,427.16 and 577.98

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Solution

The fourth proportional to 1,617.90, 2,427.16 and 577.98 is: 867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.90 : 2,427.16 = 577.98 : x
  2. Step 2: Convert to fraction form
    1,617.90/2,427.16 = 577.98/x
  3. Step 3: Cross multiply
    1,617.90x = 2,427.16 × 577.98
  4. Step 4: Simplify right side
    1,617.90x = 1,402,849.94
  5. Step 5: Solve for x
    x = 1,402,849.94/1,617.90
  6. Step 6: Final answer
    x = 867.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.