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Finding the Fourth Proportional to 2,598.48, 3,897.42 and 650.53

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Solution

The fourth proportional to 2,598.48, 3,897.42 and 650.53 is: 975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.48 : 3,897.42 = 650.53 : x
  2. Step 2: Convert to fraction form
    2,598.48/3,897.42 = 650.53/x
  3. Step 3: Cross multiply
    2,598.48x = 3,897.42 × 650.53
  4. Step 4: Simplify right side
    2,598.48x = 2,535,391.06
  5. Step 5: Solve for x
    x = 2,535,391.06/2,598.48
  6. Step 6: Final answer
    x = 975.72

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1.5x scale

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.