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Finding the Fourth Proportional to 1,577.89, 2,367.09 and 700.69

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Solution

The fourth proportional to 1,577.89, 2,367.09 and 700.69 is: 1,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.89 : 2,367.09 = 700.69 : x
  2. Step 2: Convert to fraction form
    1,577.89/2,367.09 = 700.69/x
  3. Step 3: Cross multiply
    1,577.89x = 2,367.09 × 700.69
  4. Step 4: Simplify right side
    1,577.89x = 1,658,603.51
  5. Step 5: Solve for x
    x = 1,658,603.51/1,577.89
  6. Step 6: Final answer
    x = 1,051.16

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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.