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Finding the Fourth Proportional to 1,810.04, 2,714.04 and 714.11

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Solution

The fourth proportional to 1,810.04, 2,714.04 and 714.11 is: 1,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.04 : 2,714.04 = 714.11 : x
  2. Step 2: Convert to fraction form
    1,810.04/2,714.04 = 714.11/x
  3. Step 3: Cross multiply
    1,810.04x = 2,714.04 × 714.11
  4. Step 4: Simplify right side
    1,810.04x = 1,938,109.53
  5. Step 5: Solve for x
    x = 1,938,109.53/1,810.04
  6. Step 6: Final answer
    x = 1,070.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.