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Finding the Fourth Proportional to 1,492.96, 2,060.34 and 1,051.00

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Solution

The fourth proportional to 1,492.96, 2,060.34 and 1,051.00 is: 1,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.96 : 2,060.34 = 1,051.00 : x
  2. Step 2: Convert to fraction form
    1,492.96/2,060.34 = 1,051.00/x
  3. Step 3: Cross multiply
    1,492.96x = 2,060.34 × 1,051.00
  4. Step 4: Simplify right side
    1,492.96x = 2,165,407.04
  5. Step 5: Solve for x
    x = 2,165,407.04/1,492.96
  6. Step 6: Final answer
    x = 1,450.42

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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.