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Finding the Fourth Proportional to 1,652.57, 2,461.63 and 1,564.92

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Solution

The fourth proportional to 1,652.57, 2,461.63 and 1,564.92 is: 2,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.57 : 2,461.63 = 1,564.92 : x
  2. Step 2: Convert to fraction form
    1,652.57/2,461.63 = 1,564.92/x
  3. Step 3: Cross multiply
    1,652.57x = 2,461.63 × 1,564.92
  4. Step 4: Simplify right side
    1,652.57x = 3,852,254.02
  5. Step 5: Solve for x
    x = 3,852,254.02/1,652.57
  6. Step 6: Final answer
    x = 2,331.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.