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Finding the Fourth Proportional to 1,924.92, 2,881.88 and 1,582.28

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Solution

The fourth proportional to 1,924.92, 2,881.88 and 1,582.28 is: 2,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.92 : 2,881.88 = 1,582.28 : x
  2. Step 2: Convert to fraction form
    1,924.92/2,881.88 = 1,582.28/x
  3. Step 3: Cross multiply
    1,924.92x = 2,881.88 × 1,582.28
  4. Step 4: Simplify right side
    1,924.92x = 4,559,941.09
  5. Step 5: Solve for x
    x = 4,559,941.09/1,924.92
  6. Step 6: Final answer
    x = 2,368.90

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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.