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Finding the Fourth Proportional to 1,898.95, 2,848.51 and 582.61

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Solution

The fourth proportional to 1,898.95, 2,848.51 and 582.61 is: 873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.95 : 2,848.51 = 582.61 : x
  2. Step 2: Convert to fraction form
    1,898.95/2,848.51 = 582.61/x
  3. Step 3: Cross multiply
    1,898.95x = 2,848.51 × 582.61
  4. Step 4: Simplify right side
    1,898.95x = 1,659,554.71
  5. Step 5: Solve for x
    x = 1,659,554.71/1,898.95
  6. Step 6: Final answer
    x = 873.93

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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.