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Finding the Fourth Proportional to 1,356.32, 2,034.48 and 382.45

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Solution

The fourth proportional to 1,356.32, 2,034.48 and 382.45 is: 573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.32 : 2,034.48 = 382.45 : x
  2. Step 2: Convert to fraction form
    1,356.32/2,034.48 = 382.45/x
  3. Step 3: Cross multiply
    1,356.32x = 2,034.48 × 382.45
  4. Step 4: Simplify right side
    1,356.32x = 778,081.79
  5. Step 5: Solve for x
    x = 778,081.79/1,356.32
  6. Step 6: Final answer
    x = 573.67

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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.