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Finding the Fourth Proportional to 1,570.19, 2,166.98 and 898.34

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Solution

The fourth proportional to 1,570.19, 2,166.98 and 898.34 is: 1,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.19 : 2,166.98 = 898.34 : x
  2. Step 2: Convert to fraction form
    1,570.19/2,166.98 = 898.34/x
  3. Step 3: Cross multiply
    1,570.19x = 2,166.98 × 898.34
  4. Step 4: Simplify right side
    1,570.19x = 1,946,669.49
  5. Step 5: Solve for x
    x = 1,946,669.49/1,570.19
  6. Step 6: Final answer
    x = 1,239.77

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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.