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Finding the Fourth Proportional to 2,210.41, 3,312.95 and 976.42

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Solution

The fourth proportional to 2,210.41, 3,312.95 and 976.42 is: 1,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.41 : 3,312.95 = 976.42 : x
  2. Step 2: Convert to fraction form
    2,210.41/3,312.95 = 976.42/x
  3. Step 3: Cross multiply
    2,210.41x = 3,312.95 × 976.42
  4. Step 4: Simplify right side
    2,210.41x = 3,234,830.64
  5. Step 5: Solve for x
    x = 3,234,830.64/2,210.41
  6. Step 6: Final answer
    x = 1,463.45

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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.