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Finding the Fourth Proportional to 1,417.63, 2,127.15 and 925.00

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Solution

The fourth proportional to 1,417.63, 2,127.15 and 925.00 is: 1,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.63 : 2,127.15 = 925.00 : x
  2. Step 2: Convert to fraction form
    1,417.63/2,127.15 = 925.00/x
  3. Step 3: Cross multiply
    1,417.63x = 2,127.15 × 925.00
  4. Step 4: Simplify right side
    1,417.63x = 1,967,608.43
  5. Step 5: Solve for x
    x = 1,967,608.43/1,417.63
  6. Step 6: Final answer
    x = 1,387.96

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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.