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Finding the Fourth Proportional to 2,102.27, 2,898.93 and 1,570.32

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Solution

The fourth proportional to 2,102.27, 2,898.93 and 1,570.32 is: 2,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.27 : 2,898.93 = 1,570.32 : x
  2. Step 2: Convert to fraction form
    2,102.27/2,898.93 = 1,570.32/x
  3. Step 3: Cross multiply
    2,102.27x = 2,898.93 × 1,570.32
  4. Step 4: Simplify right side
    2,102.27x = 4,552,242.47
  5. Step 5: Solve for x
    x = 4,552,242.47/2,102.27
  6. Step 6: Final answer
    x = 2,165.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.