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Finding the Fourth Proportional to 1,624.96, 2,437.44 and 894.40

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Solution

The fourth proportional to 1,624.96, 2,437.44 and 894.40 is: 1,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.96 : 2,437.44 = 894.40 : x
  2. Step 2: Convert to fraction form
    1,624.96/2,437.44 = 894.40/x
  3. Step 3: Cross multiply
    1,624.96x = 2,437.44 × 894.40
  4. Step 4: Simplify right side
    1,624.96x = 2,180,046.34
  5. Step 5: Solve for x
    x = 2,180,046.34/1,624.96
  6. Step 6: Final answer
    x = 1,341.60

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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.