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Finding the Fourth Proportional to 1,930.03, 2,895.05 and 469.18

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Solution

The fourth proportional to 1,930.03, 2,895.05 and 469.18 is: 703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.03 : 2,895.05 = 469.18 : x
  2. Step 2: Convert to fraction form
    1,930.03/2,895.05 = 469.18/x
  3. Step 3: Cross multiply
    1,930.03x = 2,895.05 × 469.18
  4. Step 4: Simplify right side
    1,930.03x = 1,358,289.98
  5. Step 5: Solve for x
    x = 1,358,289.98/1,930.03
  6. Step 6: Final answer
    x = 703.77

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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.