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Finding the Fourth Proportional to 1,897.50, 2,848.96 and 1,491.06

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Solution

The fourth proportional to 1,897.50, 2,848.96 and 1,491.06 is: 2,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.50 : 2,848.96 = 1,491.06 : x
  2. Step 2: Convert to fraction form
    1,897.50/2,848.96 = 1,491.06/x
  3. Step 3: Cross multiply
    1,897.50x = 2,848.96 × 1,491.06
  4. Step 4: Simplify right side
    1,897.50x = 4,247,970.30
  5. Step 5: Solve for x
    x = 4,247,970.30/1,897.50
  6. Step 6: Final answer
    x = 2,238.72

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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.