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Finding the Fourth Proportional to 1,477.66, 2,037.13 and 1,057.28

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Solution

The fourth proportional to 1,477.66, 2,037.13 and 1,057.28 is: 1,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.66 : 2,037.13 = 1,057.28 : x
  2. Step 2: Convert to fraction form
    1,477.66/2,037.13 = 1,057.28/x
  3. Step 3: Cross multiply
    1,477.66x = 2,037.13 × 1,057.28
  4. Step 4: Simplify right side
    1,477.66x = 2,153,816.81
  5. Step 5: Solve for x
    x = 2,153,816.81/1,477.66
  6. Step 6: Final answer
    x = 1,457.59

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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.