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Finding the Fourth Proportional to 2,984.63, 4,118.85 and 1,658.45

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Solution

The fourth proportional to 2,984.63, 4,118.85 and 1,658.45 is: 2,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.63 : 4,118.85 = 1,658.45 : x
  2. Step 2: Convert to fraction form
    2,984.63/4,118.85 = 1,658.45/x
  3. Step 3: Cross multiply
    2,984.63x = 4,118.85 × 1,658.45
  4. Step 4: Simplify right side
    2,984.63x = 6,830,886.19
  5. Step 5: Solve for x
    x = 6,830,886.19/2,984.63
  6. Step 6: Final answer
    x = 2,288.69

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