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Finding the Fourth Proportional to 4,303.26, 6,455.13 and 1,705.50

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Solution

The fourth proportional to 4,303.26, 6,455.13 and 1,705.50 is: 2,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.26 : 6,455.13 = 1,705.50 : x
  2. Step 2: Convert to fraction form
    4,303.26/6,455.13 = 1,705.50/x
  3. Step 3: Cross multiply
    4,303.26x = 6,455.13 × 1,705.50
  4. Step 4: Simplify right side
    4,303.26x = 11,009,224.22
  5. Step 5: Solve for x
    x = 11,009,224.22/4,303.26
  6. Step 6: Final answer
    x = 2,558.35

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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.