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Finding the Fourth Proportional to 3,167.04, 4,750.40 and 975.98

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Solution

The fourth proportional to 3,167.04, 4,750.40 and 975.98 is: 1,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.04 : 4,750.40 = 975.98 : x
  2. Step 2: Convert to fraction form
    3,167.04/4,750.40 = 975.98/x
  3. Step 3: Cross multiply
    3,167.04x = 4,750.40 × 975.98
  4. Step 4: Simplify right side
    3,167.04x = 4,636,295.39
  5. Step 5: Solve for x
    x = 4,636,295.39/3,167.04
  6. Step 6: Final answer
    x = 1,463.92

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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.