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Finding the Fourth Proportional to 1,341.02, 1,848.08 and 967.34

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Solution

The fourth proportional to 1,341.02, 1,848.08 and 967.34 is: 1,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.02 : 1,848.08 = 967.34 : x
  2. Step 2: Convert to fraction form
    1,341.02/1,848.08 = 967.34/x
  3. Step 3: Cross multiply
    1,341.02x = 1,848.08 × 967.34
  4. Step 4: Simplify right side
    1,341.02x = 1,787,728.75
  5. Step 5: Solve for x
    x = 1,787,728.75/1,341.02
  6. Step 6: Final answer
    x = 1,333.11

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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.