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Finding the Fourth Proportional to 2,117.03, 3,176.97 and 802.00

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Solution

The fourth proportional to 2,117.03, 3,176.97 and 802.00 is: 1,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.03 : 3,176.97 = 802.00 : x
  2. Step 2: Convert to fraction form
    2,117.03/3,176.97 = 802.00/x
  3. Step 3: Cross multiply
    2,117.03x = 3,176.97 × 802.00
  4. Step 4: Simplify right side
    2,117.03x = 2,547,910.05
  5. Step 5: Solve for x
    x = 2,547,910.05/2,117.03
  6. Step 6: Final answer
    x = 1,203.53

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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.