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Finding the Fourth Proportional to 1,599.32, 2,384.69 and 1,597.16

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Solution

The fourth proportional to 1,599.32, 2,384.69 and 1,597.16 is: 2,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.32 : 2,384.69 = 1,597.16 : x
  2. Step 2: Convert to fraction form
    1,599.32/2,384.69 = 1,597.16/x
  3. Step 3: Cross multiply
    1,599.32x = 2,384.69 × 1,597.16
  4. Step 4: Simplify right side
    1,599.32x = 3,808,731.48
  5. Step 5: Solve for x
    x = 3,808,731.48/1,599.32
  6. Step 6: Final answer
    x = 2,381.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.