Home / 1,705.32-2,352.50-1,006.36

Finding the Fourth Proportional to 1,705.32, 2,352.50 and 1,006.36

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Solution

The fourth proportional to 1,705.32, 2,352.50 and 1,006.36 is: 1,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.32 : 2,352.50 = 1,006.36 : x
  2. Step 2: Convert to fraction form
    1,705.32/2,352.50 = 1,006.36/x
  3. Step 3: Cross multiply
    1,705.32x = 2,352.50 × 1,006.36
  4. Step 4: Simplify right side
    1,705.32x = 2,367,461.90
  5. Step 5: Solve for x
    x = 2,367,461.90/1,705.32
  6. Step 6: Final answer
    x = 1,388.28

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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.