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Finding the Fourth Proportional to 2,035.35, 3,053 and 648.67

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Solution

The fourth proportional to 2,035.35, 3,053 and 648.67 is: 973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.35 : 3,053 = 648.67 : x
  2. Step 2: Convert to fraction form
    2,035.35/3,053 = 648.67/x
  3. Step 3: Cross multiply
    2,035.35x = 3,053 × 648.67
  4. Step 4: Simplify right side
    2,035.35x = 1,980,389.51
  5. Step 5: Solve for x
    x = 1,980,389.51/2,035.35
  6. Step 6: Final answer
    x = 973.00

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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.