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Finding the Fourth Proportional to 2,387.01, 3,580.52 and 655.77

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Solution

The fourth proportional to 2,387.01, 3,580.52 and 655.77 is: 983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.01 : 3,580.52 = 655.77 : x
  2. Step 2: Convert to fraction form
    2,387.01/3,580.52 = 655.77/x
  3. Step 3: Cross multiply
    2,387.01x = 3,580.52 × 655.77
  4. Step 4: Simplify right side
    2,387.01x = 2,347,994.32
  5. Step 5: Solve for x
    x = 2,347,994.32/2,387.01
  6. Step 6: Final answer
    x = 983.66

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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.