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Finding the Fourth Proportional to 1,764.87, 2,435.25 and 1,056.54

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Solution

The fourth proportional to 1,764.87, 2,435.25 and 1,056.54 is: 1,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.87 : 2,435.25 = 1,056.54 : x
  2. Step 2: Convert to fraction form
    1,764.87/2,435.25 = 1,056.54/x
  3. Step 3: Cross multiply
    1,764.87x = 2,435.25 × 1,056.54
  4. Step 4: Simplify right side
    1,764.87x = 2,572,952.13
  5. Step 5: Solve for x
    x = 2,572,952.13/1,764.87
  6. Step 6: Final answer
    x = 1,457.87

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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.