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Finding the Fourth Proportional to 1,547.64, 2,322.54 and 681.48

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Solution

The fourth proportional to 1,547.64, 2,322.54 and 681.48 is: 1,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.64 : 2,322.54 = 681.48 : x
  2. Step 2: Convert to fraction form
    1,547.64/2,322.54 = 681.48/x
  3. Step 3: Cross multiply
    1,547.64x = 2,322.54 × 681.48
  4. Step 4: Simplify right side
    1,547.64x = 1,582,764.56
  5. Step 5: Solve for x
    x = 1,582,764.56/1,547.64
  6. Step 6: Final answer
    x = 1,022.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.