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Finding the Fourth Proportional to 1,700.00, 2,549.59 and 467.51

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Solution

The fourth proportional to 1,700.00, 2,549.59 and 467.51 is: 701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.00 : 2,549.59 = 467.51 : x
  2. Step 2: Convert to fraction form
    1,700.00/2,549.59 = 467.51/x
  3. Step 3: Cross multiply
    1,700.00x = 2,549.59 × 467.51
  4. Step 4: Simplify right side
    1,700.00x = 1,191,946.07
  5. Step 5: Solve for x
    x = 1,191,946.07/1,700.00
  6. Step 6: Final answer
    x = 701.15

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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.