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Finding the Fourth Proportional to 1,515.04, 2,269.32 and 783.04

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Solution

The fourth proportional to 1,515.04, 2,269.32 and 783.04 is: 1,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.04 : 2,269.32 = 783.04 : x
  2. Step 2: Convert to fraction form
    1,515.04/2,269.32 = 783.04/x
  3. Step 3: Cross multiply
    1,515.04x = 2,269.32 × 783.04
  4. Step 4: Simplify right side
    1,515.04x = 1,776,968.33
  5. Step 5: Solve for x
    x = 1,776,968.33/1,515.04
  6. Step 6: Final answer
    x = 1,172.89

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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.