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Finding the Fourth Proportional to 1,477.41, 2,037.66 and 917.56

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Solution

The fourth proportional to 1,477.41, 2,037.66 and 917.56 is: 1,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.41 : 2,037.66 = 917.56 : x
  2. Step 2: Convert to fraction form
    1,477.41/2,037.66 = 917.56/x
  3. Step 3: Cross multiply
    1,477.41x = 2,037.66 × 917.56
  4. Step 4: Simplify right side
    1,477.41x = 1,869,675.31
  5. Step 5: Solve for x
    x = 1,869,675.31/1,477.41
  6. Step 6: Final answer
    x = 1,265.51

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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.