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Finding the Fourth Proportional to 2,307.69, 3,461.49 and 1,383.50

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Solution

The fourth proportional to 2,307.69, 3,461.49 and 1,383.50 is: 2,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.69 : 3,461.49 = 1,383.50 : x
  2. Step 2: Convert to fraction form
    2,307.69/3,461.49 = 1,383.50/x
  3. Step 3: Cross multiply
    2,307.69x = 3,461.49 × 1,383.50
  4. Step 4: Simplify right side
    2,307.69x = 4,788,980.07
  5. Step 5: Solve for x
    x = 4,788,980.07/2,307.69
  6. Step 6: Final answer
    x = 2,075.23

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Why These Related Problems?

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