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Finding the Fourth Proportional to 3,097, 4,645.50 and 1,045

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Solution

The fourth proportional to 3,097, 4,645.50 and 1,045 is: 1,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 4,645.50 = 1,045 : x
  2. Step 2: Convert to fraction form
    3,097/4,645.50 = 1,045/x
  3. Step 3: Cross multiply
    3,097x = 4,645.50 × 1,045
  4. Step 4: Simplify right side
    3,097x = 4,854,547.50
  5. Step 5: Solve for x
    x = 4,854,547.50/3,097
  6. Step 6: Final answer
    x = 1,567.50

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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.