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Finding the Fourth Proportional to 1,465.77, 2,195.43 and 1,076.46

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Solution

The fourth proportional to 1,465.77, 2,195.43 and 1,076.46 is: 1,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.77 : 2,195.43 = 1,076.46 : x
  2. Step 2: Convert to fraction form
    1,465.77/2,195.43 = 1,076.46/x
  3. Step 3: Cross multiply
    1,465.77x = 2,195.43 × 1,076.46
  4. Step 4: Simplify right side
    1,465.77x = 2,363,292.58
  5. Step 5: Solve for x
    x = 2,363,292.58/1,465.77
  6. Step 6: Final answer
    x = 1,612.32

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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.