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Finding the Fourth Proportional to 1,854.34, 2,777.08 and 1,030.57

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Solution

The fourth proportional to 1,854.34, 2,777.08 and 1,030.57 is: 1,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.34 : 2,777.08 = 1,030.57 : x
  2. Step 2: Convert to fraction form
    1,854.34/2,777.08 = 1,030.57/x
  3. Step 3: Cross multiply
    1,854.34x = 2,777.08 × 1,030.57
  4. Step 4: Simplify right side
    1,854.34x = 2,861,975.34
  5. Step 5: Solve for x
    x = 2,861,975.34/1,854.34
  6. Step 6: Final answer
    x = 1,543.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.