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Finding the Fourth Proportional to 2,060.64, 2,841.84 and 1,430.16

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Solution

The fourth proportional to 2,060.64, 2,841.84 and 1,430.16 is: 1,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.64 : 2,841.84 = 1,430.16 : x
  2. Step 2: Convert to fraction form
    2,060.64/2,841.84 = 1,430.16/x
  3. Step 3: Cross multiply
    2,060.64x = 2,841.84 × 1,430.16
  4. Step 4: Simplify right side
    2,060.64x = 4,064,285.89
  5. Step 5: Solve for x
    x = 4,064,285.89/2,060.64
  6. Step 6: Final answer
    x = 1,972.34

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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.