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Finding the Fourth Proportional to 1,342.34, 1,852.37 and 900.18

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Solution

The fourth proportional to 1,342.34, 1,852.37 and 900.18 is: 1,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.34 : 1,852.37 = 900.18 : x
  2. Step 2: Convert to fraction form
    1,342.34/1,852.37 = 900.18/x
  3. Step 3: Cross multiply
    1,342.34x = 1,852.37 × 900.18
  4. Step 4: Simplify right side
    1,342.34x = 1,667,465.30
  5. Step 5: Solve for x
    x = 1,667,465.30/1,342.34
  6. Step 6: Final answer
    x = 1,242.21

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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.