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Finding the Fourth Proportional to 1,710.01, 2,356.63 and 1,336.40

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Solution

The fourth proportional to 1,710.01, 2,356.63 and 1,336.40 is: 1,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.01 : 2,356.63 = 1,336.40 : x
  2. Step 2: Convert to fraction form
    1,710.01/2,356.63 = 1,336.40/x
  3. Step 3: Cross multiply
    1,710.01x = 2,356.63 × 1,336.40
  4. Step 4: Simplify right side
    1,710.01x = 3,149,394.05
  5. Step 5: Solve for x
    x = 3,149,394.05/1,710.01
  6. Step 6: Final answer
    x = 1,841.74

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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.