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Finding the Fourth Proportional to 1,771.40, 2,444.65 and 974.77

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Solution

The fourth proportional to 1,771.40, 2,444.65 and 974.77 is: 1,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.40 : 2,444.65 = 974.77 : x
  2. Step 2: Convert to fraction form
    1,771.40/2,444.65 = 974.77/x
  3. Step 3: Cross multiply
    1,771.40x = 2,444.65 × 974.77
  4. Step 4: Simplify right side
    1,771.40x = 2,382,962.93
  5. Step 5: Solve for x
    x = 2,382,962.93/1,771.40
  6. Step 6: Final answer
    x = 1,345.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.