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Finding the Fourth Proportional to 2,840.32, 4,259.04 and 1,300

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Solution

The fourth proportional to 2,840.32, 4,259.04 and 1,300 is: 1,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.32 : 4,259.04 = 1,300 : x
  2. Step 2: Convert to fraction form
    2,840.32/4,259.04 = 1,300/x
  3. Step 3: Cross multiply
    2,840.32x = 4,259.04 × 1,300
  4. Step 4: Simplify right side
    2,840.32x = 5,536,752
  5. Step 5: Solve for x
    x = 5,536,752/2,840.32
  6. Step 6: Final answer
    x = 1,949.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.