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Finding the Fourth Proportional to 1,416.93, 2,125.19 and 377

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Solution

The fourth proportional to 1,416.93, 2,125.19 and 377 is: 565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.93 : 2,125.19 = 377 : x
  2. Step 2: Convert to fraction form
    1,416.93/2,125.19 = 377/x
  3. Step 3: Cross multiply
    1,416.93x = 2,125.19 × 377
  4. Step 4: Simplify right side
    1,416.93x = 801,196.63
  5. Step 5: Solve for x
    x = 801,196.63/1,416.93
  6. Step 6: Final answer
    x = 565.45

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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.