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Finding the Fourth Proportional to 2,897.40, 4,051.50 and 2,897.40

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Solution

The fourth proportional to 2,897.40, 4,051.50 and 2,897.40 is: 4,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.40 : 4,051.50 = 2,897.40 : x
  2. Step 2: Convert to fraction form
    2,897.40/4,051.50 = 2,897.40/x
  3. Step 3: Cross multiply
    2,897.40x = 4,051.50 × 2,897.40
  4. Step 4: Simplify right side
    2,897.40x = 11,738,816.10
  5. Step 5: Solve for x
    x = 11,738,816.10/2,897.40
  6. Step 6: Final answer
    x = 4,051.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.