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Finding the Fourth Proportional to 1,477.87, 2,036.65 and 1,057.49

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Solution

The fourth proportional to 1,477.87, 2,036.65 and 1,057.49 is: 1,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.87 : 2,036.65 = 1,057.49 : x
  2. Step 2: Convert to fraction form
    1,477.87/2,036.65 = 1,057.49/x
  3. Step 3: Cross multiply
    1,477.87x = 2,036.65 × 1,057.49
  4. Step 4: Simplify right side
    1,477.87x = 2,153,737.01
  5. Step 5: Solve for x
    x = 2,153,737.01/1,477.87
  6. Step 6: Final answer
    x = 1,457.33

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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.