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Finding the Fourth Proportional to 1,582.39, 2,363.72 and 1,172.33

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Solution

The fourth proportional to 1,582.39, 2,363.72 and 1,172.33 is: 1,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.39 : 2,363.72 = 1,172.33 : x
  2. Step 2: Convert to fraction form
    1,582.39/2,363.72 = 1,172.33/x
  3. Step 3: Cross multiply
    1,582.39x = 2,363.72 × 1,172.33
  4. Step 4: Simplify right side
    1,582.39x = 2,771,066.47
  5. Step 5: Solve for x
    x = 2,771,066.47/1,582.39
  6. Step 6: Final answer
    x = 1,751.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.