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Finding the Fourth Proportional to 1,307.62, 1,970.83 and 1,127.19

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Solution

The fourth proportional to 1,307.62, 1,970.83 and 1,127.19 is: 1,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.62 : 1,970.83 = 1,127.19 : x
  2. Step 2: Convert to fraction form
    1,307.62/1,970.83 = 1,127.19/x
  3. Step 3: Cross multiply
    1,307.62x = 1,970.83 × 1,127.19
  4. Step 4: Simplify right side
    1,307.62x = 2,221,497.05
  5. Step 5: Solve for x
    x = 2,221,497.05/1,307.62
  6. Step 6: Final answer
    x = 1,698.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.