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Finding the Fourth Proportional to 1,854.64, 2,553.96 and 1,658.08

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Solution

The fourth proportional to 1,854.64, 2,553.96 and 1,658.08 is: 2,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.64 : 2,553.96 = 1,658.08 : x
  2. Step 2: Convert to fraction form
    1,854.64/2,553.96 = 1,658.08/x
  3. Step 3: Cross multiply
    1,854.64x = 2,553.96 × 1,658.08
  4. Step 4: Simplify right side
    1,854.64x = 4,234,670.00
  5. Step 5: Solve for x
    x = 4,234,670.00/1,854.64
  6. Step 6: Final answer
    x = 2,283.28

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Why These Related Problems?

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