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Finding the Fourth Proportional to 1,436.35, 2,152.76 and 612.88

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Solution

The fourth proportional to 1,436.35, 2,152.76 and 612.88 is: 918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.35 : 2,152.76 = 612.88 : x
  2. Step 2: Convert to fraction form
    1,436.35/2,152.76 = 612.88/x
  3. Step 3: Cross multiply
    1,436.35x = 2,152.76 × 612.88
  4. Step 4: Simplify right side
    1,436.35x = 1,319,383.55
  5. Step 5: Solve for x
    x = 1,319,383.55/1,436.35
  6. Step 6: Final answer
    x = 918.57

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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.