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Finding the Fourth Proportional to 1,833.42, 2,530.04 and 1,047.45

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Solution

The fourth proportional to 1,833.42, 2,530.04 and 1,047.45 is: 1,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.42 : 2,530.04 = 1,047.45 : x
  2. Step 2: Convert to fraction form
    1,833.42/2,530.04 = 1,047.45/x
  3. Step 3: Cross multiply
    1,833.42x = 2,530.04 × 1,047.45
  4. Step 4: Simplify right side
    1,833.42x = 2,650,085.16
  5. Step 5: Solve for x
    x = 2,650,085.16/1,833.42
  6. Step 6: Final answer
    x = 1,445.43

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