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Finding the Fourth Proportional to 1,588.42, 2,396.32 and 1,544.68

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Solution

The fourth proportional to 1,588.42, 2,396.32 and 1,544.68 is: 2,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.42 : 2,396.32 = 1,544.68 : x
  2. Step 2: Convert to fraction form
    1,588.42/2,396.32 = 1,544.68/x
  3. Step 3: Cross multiply
    1,588.42x = 2,396.32 × 1,544.68
  4. Step 4: Simplify right side
    1,588.42x = 3,701,547.58
  5. Step 5: Solve for x
    x = 3,701,547.58/1,588.42
  6. Step 6: Final answer
    x = 2,330.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.