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Finding the Fourth Proportional to 1,565.17, 2,347.72 and 395.17

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Solution

The fourth proportional to 1,565.17, 2,347.72 and 395.17 is: 592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.17 : 2,347.72 = 395.17 : x
  2. Step 2: Convert to fraction form
    1,565.17/2,347.72 = 395.17/x
  3. Step 3: Cross multiply
    1,565.17x = 2,347.72 × 395.17
  4. Step 4: Simplify right side
    1,565.17x = 927,748.51
  5. Step 5: Solve for x
    x = 927,748.51/1,565.17
  6. Step 6: Final answer
    x = 592.75

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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.