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Finding the Fourth Proportional to 1,582.70, 2,196.05 and 1,537.34

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Solution

The fourth proportional to 1,582.70, 2,196.05 and 1,537.34 is: 2,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.70 : 2,196.05 = 1,537.34 : x
  2. Step 2: Convert to fraction form
    1,582.70/2,196.05 = 1,537.34/x
  3. Step 3: Cross multiply
    1,582.70x = 2,196.05 × 1,537.34
  4. Step 4: Simplify right side
    1,582.70x = 3,376,075.51
  5. Step 5: Solve for x
    x = 3,376,075.51/1,582.70
  6. Step 6: Final answer
    x = 2,133.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.