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Finding the Fourth Proportional to 1,624.76, 2,437.50 and 893.96

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Solution

The fourth proportional to 1,624.76, 2,437.50 and 893.96 is: 1,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.76 : 2,437.50 = 893.96 : x
  2. Step 2: Convert to fraction form
    1,624.76/2,437.50 = 893.96/x
  3. Step 3: Cross multiply
    1,624.76x = 2,437.50 × 893.96
  4. Step 4: Simplify right side
    1,624.76x = 2,179,027.50
  5. Step 5: Solve for x
    x = 2,179,027.50/1,624.76
  6. Step 6: Final answer
    x = 1,341.14

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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.