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Finding the Fourth Proportional to 1,554.90, 2,329.20 and 968.10

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Solution

The fourth proportional to 1,554.90, 2,329.20 and 968.10 is: 1,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.90 : 2,329.20 = 968.10 : x
  2. Step 2: Convert to fraction form
    1,554.90/2,329.20 = 968.10/x
  3. Step 3: Cross multiply
    1,554.90x = 2,329.20 × 968.10
  4. Step 4: Simplify right side
    1,554.90x = 2,254,898.52
  5. Step 5: Solve for x
    x = 2,254,898.52/1,554.90
  6. Step 6: Final answer
    x = 1,450.19

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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.