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Finding the Fourth Proportional to 2,484.96, 3,720.15 and 1,742.00

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Solution

The fourth proportional to 2,484.96, 3,720.15 and 1,742.00 is: 2,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.96 : 3,720.15 = 1,742.00 : x
  2. Step 2: Convert to fraction form
    2,484.96/3,720.15 = 1,742.00/x
  3. Step 3: Cross multiply
    2,484.96x = 3,720.15 × 1,742.00
  4. Step 4: Simplify right side
    2,484.96x = 6,480,482.70
  5. Step 5: Solve for x
    x = 6,480,482.70/2,484.96
  6. Step 6: Final answer
    x = 2,607.88

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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.