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Finding the Fourth Proportional to 1,121.18, 1,681.70 and 341.15

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Solution

The fourth proportional to 1,121.18, 1,681.70 and 341.15 is: 511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.18 : 1,681.70 = 341.15 : x
  2. Step 2: Convert to fraction form
    1,121.18/1,681.70 = 341.15/x
  3. Step 3: Cross multiply
    1,121.18x = 1,681.70 × 341.15
  4. Step 4: Simplify right side
    1,121.18x = 573,701.84
  5. Step 5: Solve for x
    x = 573,701.84/1,121.18
  6. Step 6: Final answer
    x = 511.70

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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.