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Finding the Fourth Proportional to 2,773.60, 4,158.23 and 1,457.53

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Solution

The fourth proportional to 2,773.60, 4,158.23 and 1,457.53 is: 2,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.60 : 4,158.23 = 1,457.53 : x
  2. Step 2: Convert to fraction form
    2,773.60/4,158.23 = 1,457.53/x
  3. Step 3: Cross multiply
    2,773.60x = 4,158.23 × 1,457.53
  4. Step 4: Simplify right side
    2,773.60x = 6,060,727.29
  5. Step 5: Solve for x
    x = 6,060,727.29/2,773.60
  6. Step 6: Final answer
    x = 2,185.15

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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.