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Finding the Fourth Proportional to 1,582.10, 2,373.29 and 965.49

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Solution

The fourth proportional to 1,582.10, 2,373.29 and 965.49 is: 1,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.10 : 2,373.29 = 965.49 : x
  2. Step 2: Convert to fraction form
    1,582.10/2,373.29 = 965.49/x
  3. Step 3: Cross multiply
    1,582.10x = 2,373.29 × 965.49
  4. Step 4: Simplify right side
    1,582.10x = 2,291,382.93
  5. Step 5: Solve for x
    x = 2,291,382.93/1,582.10
  6. Step 6: Final answer
    x = 1,448.32

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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.