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Finding the Fourth Proportional to 1,898.69, 2,848.34 and 666.47

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Solution

The fourth proportional to 1,898.69, 2,848.34 and 666.47 is: 999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.69 : 2,848.34 = 666.47 : x
  2. Step 2: Convert to fraction form
    1,898.69/2,848.34 = 666.47/x
  3. Step 3: Cross multiply
    1,898.69x = 2,848.34 × 666.47
  4. Step 4: Simplify right side
    1,898.69x = 1,898,341.95
  5. Step 5: Solve for x
    x = 1,898,341.95/1,898.69
  6. Step 6: Final answer
    x = 999.82

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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.