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Finding the Fourth Proportional to 1,809.80, 2,715.12 and 714.08

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Solution

The fourth proportional to 1,809.80, 2,715.12 and 714.08 is: 1,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.80 : 2,715.12 = 714.08 : x
  2. Step 2: Convert to fraction form
    1,809.80/2,715.12 = 714.08/x
  3. Step 3: Cross multiply
    1,809.80x = 2,715.12 × 714.08
  4. Step 4: Simplify right side
    1,809.80x = 1,938,812.89
  5. Step 5: Solve for x
    x = 1,938,812.89/1,809.80
  6. Step 6: Final answer
    x = 1,071.29

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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.