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Finding the Fourth Proportional to 2,030.54, 3,045.94 and 714.13

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Solution

The fourth proportional to 2,030.54, 3,045.94 and 714.13 is: 1,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.54 : 3,045.94 = 714.13 : x
  2. Step 2: Convert to fraction form
    2,030.54/3,045.94 = 714.13/x
  3. Step 3: Cross multiply
    2,030.54x = 3,045.94 × 714.13
  4. Step 4: Simplify right side
    2,030.54x = 2,175,197.13
  5. Step 5: Solve for x
    x = 2,175,197.13/2,030.54
  6. Step 6: Final answer
    x = 1,071.24

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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.