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Finding the Fourth Proportional to 1,362.10, 1,875.72 and 1,213.06

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Solution

The fourth proportional to 1,362.10, 1,875.72 and 1,213.06 is: 1,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.10 : 1,875.72 = 1,213.06 : x
  2. Step 2: Convert to fraction form
    1,362.10/1,875.72 = 1,213.06/x
  3. Step 3: Cross multiply
    1,362.10x = 1,875.72 × 1,213.06
  4. Step 4: Simplify right side
    1,362.10x = 2,275,360.90
  5. Step 5: Solve for x
    x = 2,275,360.90/1,362.10
  6. Step 6: Final answer
    x = 1,670.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.