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Finding the Fourth Proportional to 1,342.86, 1,853.28 and 901.68

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Solution

The fourth proportional to 1,342.86, 1,853.28 and 901.68 is: 1,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.86 : 1,853.28 = 901.68 : x
  2. Step 2: Convert to fraction form
    1,342.86/1,853.28 = 901.68/x
  3. Step 3: Cross multiply
    1,342.86x = 1,853.28 × 901.68
  4. Step 4: Simplify right side
    1,342.86x = 1,671,065.51
  5. Step 5: Solve for x
    x = 1,671,065.51/1,342.86
  6. Step 6: Final answer
    x = 1,244.41

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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.