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Finding the Fourth Proportional to 3,097.98, 4,646.01 and 1,045.50

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Solution

The fourth proportional to 3,097.98, 4,646.01 and 1,045.50 is: 1,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.98 : 4,646.01 = 1,045.50 : x
  2. Step 2: Convert to fraction form
    3,097.98/4,646.01 = 1,045.50/x
  3. Step 3: Cross multiply
    3,097.98x = 4,646.01 × 1,045.50
  4. Step 4: Simplify right side
    3,097.98x = 4,857,403.46
  5. Step 5: Solve for x
    x = 4,857,403.46/3,097.98
  6. Step 6: Final answer
    x = 1,567.93

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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.