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Finding the Fourth Proportional to 1,564.01, 2,161.19 and 1,488.10

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Solution

The fourth proportional to 1,564.01, 2,161.19 and 1,488.10 is: 2,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.01 : 2,161.19 = 1,488.10 : x
  2. Step 2: Convert to fraction form
    1,564.01/2,161.19 = 1,488.10/x
  3. Step 3: Cross multiply
    1,564.01x = 2,161.19 × 1,488.10
  4. Step 4: Simplify right side
    1,564.01x = 3,216,066.84
  5. Step 5: Solve for x
    x = 3,216,066.84/1,564.01
  6. Step 6: Final answer
    x = 2,056.30

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