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Finding the Fourth Proportional to 1,830.92, 2,526.62 and 1,002.92

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Solution

The fourth proportional to 1,830.92, 2,526.62 and 1,002.92 is: 1,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.92 : 2,526.62 = 1,002.92 : x
  2. Step 2: Convert to fraction form
    1,830.92/2,526.62 = 1,002.92/x
  3. Step 3: Cross multiply
    1,830.92x = 2,526.62 × 1,002.92
  4. Step 4: Simplify right side
    1,830.92x = 2,533,997.73
  5. Step 5: Solve for x
    x = 2,533,997.73/1,830.92
  6. Step 6: Final answer
    x = 1,384.00

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Why These Related Problems?

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