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Finding the Fourth Proportional to 1,484.13, 2,048.04 and 924.56

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Solution

The fourth proportional to 1,484.13, 2,048.04 and 924.56 is: 1,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.13 : 2,048.04 = 924.56 : x
  2. Step 2: Convert to fraction form
    1,484.13/2,048.04 = 924.56/x
  3. Step 3: Cross multiply
    1,484.13x = 2,048.04 × 924.56
  4. Step 4: Simplify right side
    1,484.13x = 1,893,535.86
  5. Step 5: Solve for x
    x = 1,893,535.86/1,484.13
  6. Step 6: Final answer
    x = 1,275.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.