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Finding the Fourth Proportional to 1,695.77, 2,341.31 and 1,137.07

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Solution

The fourth proportional to 1,695.77, 2,341.31 and 1,137.07 is: 1,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.77 : 2,341.31 = 1,137.07 : x
  2. Step 2: Convert to fraction form
    1,695.77/2,341.31 = 1,137.07/x
  3. Step 3: Cross multiply
    1,695.77x = 2,341.31 × 1,137.07
  4. Step 4: Simplify right side
    1,695.77x = 2,662,221.82
  5. Step 5: Solve for x
    x = 2,662,221.82/1,695.77
  6. Step 6: Final answer
    x = 1,569.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.