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Finding the Fourth Proportional to 1,577.09, 2,365.64 and 926.93

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Solution

The fourth proportional to 1,577.09, 2,365.64 and 926.93 is: 1,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.09 : 2,365.64 = 926.93 : x
  2. Step 2: Convert to fraction form
    1,577.09/2,365.64 = 926.93/x
  3. Step 3: Cross multiply
    1,577.09x = 2,365.64 × 926.93
  4. Step 4: Simplify right side
    1,577.09x = 2,192,782.69
  5. Step 5: Solve for x
    x = 2,192,782.69/1,577.09
  6. Step 6: Final answer
    x = 1,390.40

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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.