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Finding the Fourth Proportional to 1,465.48, 2,199.93 and 1,157.53

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Solution

The fourth proportional to 1,465.48, 2,199.93 and 1,157.53 is: 1,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.48 : 2,199.93 = 1,157.53 : x
  2. Step 2: Convert to fraction form
    1,465.48/2,199.93 = 1,157.53/x
  3. Step 3: Cross multiply
    1,465.48x = 2,199.93 × 1,157.53
  4. Step 4: Simplify right side
    1,465.48x = 2,546,484.97
  5. Step 5: Solve for x
    x = 2,546,484.97/1,465.48
  6. Step 6: Final answer
    x = 1,737.65

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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.