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Finding the Fourth Proportional to 1,856.16, 2,784.47 and 557.55

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Solution

The fourth proportional to 1,856.16, 2,784.47 and 557.55 is: 836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.16 : 2,784.47 = 557.55 : x
  2. Step 2: Convert to fraction form
    1,856.16/2,784.47 = 557.55/x
  3. Step 3: Cross multiply
    1,856.16x = 2,784.47 × 557.55
  4. Step 4: Simplify right side
    1,856.16x = 1,552,478.46
  5. Step 5: Solve for x
    x = 1,552,478.46/1,856.16
  6. Step 6: Final answer
    x = 836.39

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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.