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Finding the Fourth Proportional to 1,856.41, 2,784.88 and 557.98

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Solution

The fourth proportional to 1,856.41, 2,784.88 and 557.98 is: 837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.41 : 2,784.88 = 557.98 : x
  2. Step 2: Convert to fraction form
    1,856.41/2,784.88 = 557.98/x
  3. Step 3: Cross multiply
    1,856.41x = 2,784.88 × 557.98
  4. Step 4: Simplify right side
    1,856.41x = 1,553,907.34
  5. Step 5: Solve for x
    x = 1,553,907.34/1,856.41
  6. Step 6: Final answer
    x = 837.05

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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.