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Finding the Fourth Proportional to 1,582.53, 2,371.05 and 964.32

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Solution

The fourth proportional to 1,582.53, 2,371.05 and 964.32 is: 1,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.53 : 2,371.05 = 964.32 : x
  2. Step 2: Convert to fraction form
    1,582.53/2,371.05 = 964.32/x
  3. Step 3: Cross multiply
    1,582.53x = 2,371.05 × 964.32
  4. Step 4: Simplify right side
    1,582.53x = 2,286,450.94
  5. Step 5: Solve for x
    x = 2,286,450.94/1,582.53
  6. Step 6: Final answer
    x = 1,444.81

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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.