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Finding the Fourth Proportional to 1,582.53, 2,371.15 and 964.36

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Solution

The fourth proportional to 1,582.53, 2,371.15 and 964.36 is: 1,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.53 : 2,371.15 = 964.36 : x
  2. Step 2: Convert to fraction form
    1,582.53/2,371.15 = 964.36/x
  3. Step 3: Cross multiply
    1,582.53x = 2,371.15 × 964.36
  4. Step 4: Simplify right side
    1,582.53x = 2,286,642.21
  5. Step 5: Solve for x
    x = 2,286,642.21/1,582.53
  6. Step 6: Final answer
    x = 1,444.93

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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.