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Finding the Fourth Proportional to 1,514.99, 2,090.16 and 947.44

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Solution

The fourth proportional to 1,514.99, 2,090.16 and 947.44 is: 1,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.99 : 2,090.16 = 947.44 : x
  2. Step 2: Convert to fraction form
    1,514.99/2,090.16 = 947.44/x
  3. Step 3: Cross multiply
    1,514.99x = 2,090.16 × 947.44
  4. Step 4: Simplify right side
    1,514.99x = 1,980,301.19
  5. Step 5: Solve for x
    x = 1,980,301.19/1,514.99
  6. Step 6: Final answer
    x = 1,307.14

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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.