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Finding the Fourth Proportional to 2,298.84, 3,173.88 and 1,514.16

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Solution

The fourth proportional to 2,298.84, 3,173.88 and 1,514.16 is: 2,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.84 : 3,173.88 = 1,514.16 : x
  2. Step 2: Convert to fraction form
    2,298.84/3,173.88 = 1,514.16/x
  3. Step 3: Cross multiply
    2,298.84x = 3,173.88 × 1,514.16
  4. Step 4: Simplify right side
    2,298.84x = 4,805,762.14
  5. Step 5: Solve for x
    x = 4,805,762.14/2,298.84
  6. Step 6: Final answer
    x = 2,090.52

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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.