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Finding the Fourth Proportional to 1,668.17, 2,303.89 and 1,111.00

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Solution

The fourth proportional to 1,668.17, 2,303.89 and 1,111.00 is: 1,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.17 : 2,303.89 = 1,111.00 : x
  2. Step 2: Convert to fraction form
    1,668.17/2,303.89 = 1,111.00/x
  3. Step 3: Cross multiply
    1,668.17x = 2,303.89 × 1,111.00
  4. Step 4: Simplify right side
    1,668.17x = 2,559,617.42
  5. Step 5: Solve for x
    x = 2,559,617.42/1,668.17
  6. Step 6: Final answer
    x = 1,534.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.