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Finding the Fourth Proportional to 1,710.36, 2,566.35 and 930.33

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Solution

The fourth proportional to 1,710.36, 2,566.35 and 930.33 is: 1,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.36 : 2,566.35 = 930.33 : x
  2. Step 2: Convert to fraction form
    1,710.36/2,566.35 = 930.33/x
  3. Step 3: Cross multiply
    1,710.36x = 2,566.35 × 930.33
  4. Step 4: Simplify right side
    1,710.36x = 2,387,552.40
  5. Step 5: Solve for x
    x = 2,387,552.40/1,710.36
  6. Step 6: Final answer
    x = 1,395.94

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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.