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Finding the Fourth Proportional to 1,582.81, 2,370.16 and 1,096.81

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Solution

The fourth proportional to 1,582.81, 2,370.16 and 1,096.81 is: 1,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.81 : 2,370.16 = 1,096.81 : x
  2. Step 2: Convert to fraction form
    1,582.81/2,370.16 = 1,096.81/x
  3. Step 3: Cross multiply
    1,582.81x = 2,370.16 × 1,096.81
  4. Step 4: Simplify right side
    1,582.81x = 2,599,615.19
  5. Step 5: Solve for x
    x = 2,599,615.19/1,582.81
  6. Step 6: Final answer
    x = 1,642.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.