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Finding the Fourth Proportional to 1,582.74, 2,184.41 and 1,534.34

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Solution

The fourth proportional to 1,582.74, 2,184.41 and 1,534.34 is: 2,117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.74 : 2,184.41 = 1,534.34 : x
  2. Step 2: Convert to fraction form
    1,582.74/2,184.41 = 1,534.34/x
  3. Step 3: Cross multiply
    1,582.74x = 2,184.41 × 1,534.34
  4. Step 4: Simplify right side
    1,582.74x = 3,351,627.64
  5. Step 5: Solve for x
    x = 3,351,627.64/1,582.74
  6. Step 6: Final answer
    x = 2,117.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.