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Finding the Fourth Proportional to 1,566.02, 2,347.65 and 591.41

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Solution

The fourth proportional to 1,566.02, 2,347.65 and 591.41 is: 886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.02 : 2,347.65 = 591.41 : x
  2. Step 2: Convert to fraction form
    1,566.02/2,347.65 = 591.41/x
  3. Step 3: Cross multiply
    1,566.02x = 2,347.65 × 591.41
  4. Step 4: Simplify right side
    1,566.02x = 1,388,411.95
  5. Step 5: Solve for x
    x = 1,388,411.95/1,566.02
  6. Step 6: Final answer
    x = 886.59

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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.