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Finding the Fourth Proportional to 1,590.62, 2,386.74 and 1,161.32

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Solution

The fourth proportional to 1,590.62, 2,386.74 and 1,161.32 is: 1,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.62 : 2,386.74 = 1,161.32 : x
  2. Step 2: Convert to fraction form
    1,590.62/2,386.74 = 1,161.32/x
  3. Step 3: Cross multiply
    1,590.62x = 2,386.74 × 1,161.32
  4. Step 4: Simplify right side
    1,590.62x = 2,771,768.90
  5. Step 5: Solve for x
    x = 2,771,768.90/1,590.62
  6. Step 6: Final answer
    x = 1,742.57

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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.