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Finding the Fourth Proportional to 1,684.81, 2,322.16 and 1,159.93

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Solution

The fourth proportional to 1,684.81, 2,322.16 and 1,159.93 is: 1,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.81 : 2,322.16 = 1,159.93 : x
  2. Step 2: Convert to fraction form
    1,684.81/2,322.16 = 1,159.93/x
  3. Step 3: Cross multiply
    1,684.81x = 2,322.16 × 1,159.93
  4. Step 4: Simplify right side
    1,684.81x = 2,693,543.05
  5. Step 5: Solve for x
    x = 2,693,543.05/1,684.81
  6. Step 6: Final answer
    x = 1,598.72

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Why These Related Problems?

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