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Finding the Fourth Proportional to 2,524.64, 3,484.06 and 1,405.65

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Solution

The fourth proportional to 2,524.64, 3,484.06 and 1,405.65 is: 1,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.64 : 3,484.06 = 1,405.65 : x
  2. Step 2: Convert to fraction form
    2,524.64/3,484.06 = 1,405.65/x
  3. Step 3: Cross multiply
    2,524.64x = 3,484.06 × 1,405.65
  4. Step 4: Simplify right side
    2,524.64x = 4,897,386.40
  5. Step 5: Solve for x
    x = 4,897,386.40/2,524.64
  6. Step 6: Final answer
    x = 1,939.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.