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Finding the Fourth Proportional to 2,566.70, 3,840.45 and 1,702.70

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Solution

The fourth proportional to 2,566.70, 3,840.45 and 1,702.70 is: 2,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.70 : 3,840.45 = 1,702.70 : x
  2. Step 2: Convert to fraction form
    2,566.70/3,840.45 = 1,702.70/x
  3. Step 3: Cross multiply
    2,566.70x = 3,840.45 × 1,702.70
  4. Step 4: Simplify right side
    2,566.70x = 6,539,134.22
  5. Step 5: Solve for x
    x = 6,539,134.22/2,566.70
  6. Step 6: Final answer
    x = 2,547.68

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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.