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Finding the Fourth Proportional to 2,509.04, 3,462.40 and 1,405.04

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Solution

The fourth proportional to 2,509.04, 3,462.40 and 1,405.04 is: 1,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.04 : 3,462.40 = 1,405.04 : x
  2. Step 2: Convert to fraction form
    2,509.04/3,462.40 = 1,405.04/x
  3. Step 3: Cross multiply
    2,509.04x = 3,462.40 × 1,405.04
  4. Step 4: Simplify right side
    2,509.04x = 4,864,810.50
  5. Step 5: Solve for x
    x = 4,864,810.50/2,509.04
  6. Step 6: Final answer
    x = 1,938.91

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Why These Related Problems?

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