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Finding the Fourth Proportional to 1,706.10, 2,559.96 and 975.93

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Solution

The fourth proportional to 1,706.10, 2,559.96 and 975.93 is: 1,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.10 : 2,559.96 = 975.93 : x
  2. Step 2: Convert to fraction form
    1,706.10/2,559.96 = 975.93/x
  3. Step 3: Cross multiply
    1,706.10x = 2,559.96 × 975.93
  4. Step 4: Simplify right side
    1,706.10x = 2,498,341.76
  5. Step 5: Solve for x
    x = 2,498,341.76/1,706.10
  6. Step 6: Final answer
    x = 1,464.36

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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.