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Finding the Fourth Proportional to 1,502, 2,071.72 and 1,004.40

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Solution

The fourth proportional to 1,502, 2,071.72 and 1,004.40 is: 1,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502 : 2,071.72 = 1,004.40 : x
  2. Step 2: Convert to fraction form
    1,502/2,071.72 = 1,004.40/x
  3. Step 3: Cross multiply
    1,502x = 2,071.72 × 1,004.40
  4. Step 4: Simplify right side
    1,502x = 2,080,835.57
  5. Step 5: Solve for x
    x = 2,080,835.57/1,502
  6. Step 6: Final answer
    x = 1,385.38

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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.