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Finding the Fourth Proportional to 1,547.86, 2,322.54 and 767.93

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Solution

The fourth proportional to 1,547.86, 2,322.54 and 767.93 is: 1,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.86 : 2,322.54 = 767.93 : x
  2. Step 2: Convert to fraction form
    1,547.86/2,322.54 = 767.93/x
  3. Step 3: Cross multiply
    1,547.86x = 2,322.54 × 767.93
  4. Step 4: Simplify right side
    1,547.86x = 1,783,548.14
  5. Step 5: Solve for x
    x = 1,783,548.14/1,547.86
  6. Step 6: Final answer
    x = 1,152.27

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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.