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Finding the Fourth Proportional to 1,501.64, 2,253 and 923.84

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Solution

The fourth proportional to 1,501.64, 2,253 and 923.84 is: 1,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.64 : 2,253 = 923.84 : x
  2. Step 2: Convert to fraction form
    1,501.64/2,253 = 923.84/x
  3. Step 3: Cross multiply
    1,501.64x = 2,253 × 923.84
  4. Step 4: Simplify right side
    1,501.64x = 2,081,411.52
  5. Step 5: Solve for x
    x = 2,081,411.52/1,501.64
  6. Step 6: Final answer
    x = 1,386.09

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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.