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Finding the Fourth Proportional to 1,641.61, 2,266.05 and 1,117.99

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Solution

The fourth proportional to 1,641.61, 2,266.05 and 1,117.99 is: 1,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.61 : 2,266.05 = 1,117.99 : x
  2. Step 2: Convert to fraction form
    1,641.61/2,266.05 = 1,117.99/x
  3. Step 3: Cross multiply
    1,641.61x = 2,266.05 × 1,117.99
  4. Step 4: Simplify right side
    1,641.61x = 2,533,421.24
  5. Step 5: Solve for x
    x = 2,533,421.24/1,641.61
  6. Step 6: Final answer
    x = 1,543.25

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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.