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Finding the Fourth Proportional to 1,392.18, 2,090.34 and 875.43

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Solution

The fourth proportional to 1,392.18, 2,090.34 and 875.43 is: 1,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.18 : 2,090.34 = 875.43 : x
  2. Step 2: Convert to fraction form
    1,392.18/2,090.34 = 875.43/x
  3. Step 3: Cross multiply
    1,392.18x = 2,090.34 × 875.43
  4. Step 4: Simplify right side
    1,392.18x = 1,829,946.35
  5. Step 5: Solve for x
    x = 1,829,946.35/1,392.18
  6. Step 6: Final answer
    x = 1,314.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.