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Finding the Fourth Proportional to 3,164.94, 4,748.63 and 973.89

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Solution

The fourth proportional to 3,164.94, 4,748.63 and 973.89 is: 1,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.94 : 4,748.63 = 973.89 : x
  2. Step 2: Convert to fraction form
    3,164.94/4,748.63 = 973.89/x
  3. Step 3: Cross multiply
    3,164.94x = 4,748.63 × 973.89
  4. Step 4: Simplify right side
    3,164.94x = 4,624,638.40
  5. Step 5: Solve for x
    x = 4,624,638.40/3,164.94
  6. Step 6: Final answer
    x = 1,461.21

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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.