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Finding the Fourth Proportional to 1,827.19, 2,740.47 and 595.48

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Solution

The fourth proportional to 1,827.19, 2,740.47 and 595.48 is: 893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.19 : 2,740.47 = 595.48 : x
  2. Step 2: Convert to fraction form
    1,827.19/2,740.47 = 595.48/x
  3. Step 3: Cross multiply
    1,827.19x = 2,740.47 × 595.48
  4. Step 4: Simplify right side
    1,827.19x = 1,631,895.08
  5. Step 5: Solve for x
    x = 1,631,895.08/1,827.19
  6. Step 6: Final answer
    x = 893.12

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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.