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Finding the Fourth Proportional to 2,296.79, 3,444.70 and 652.89

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Solution

The fourth proportional to 2,296.79, 3,444.70 and 652.89 is: 979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.79 : 3,444.70 = 652.89 : x
  2. Step 2: Convert to fraction form
    2,296.79/3,444.70 = 652.89/x
  3. Step 3: Cross multiply
    2,296.79x = 3,444.70 × 652.89
  4. Step 4: Simplify right side
    2,296.79x = 2,249,010.18
  5. Step 5: Solve for x
    x = 2,249,010.18/2,296.79
  6. Step 6: Final answer
    x = 979.20

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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.