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Finding the Fourth Proportional to 1,762.94, 2,641.98 and 1,417.08

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Solution

The fourth proportional to 1,762.94, 2,641.98 and 1,417.08 is: 2,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.94 : 2,641.98 = 1,417.08 : x
  2. Step 2: Convert to fraction form
    1,762.94/2,641.98 = 1,417.08/x
  3. Step 3: Cross multiply
    1,762.94x = 2,641.98 × 1,417.08
  4. Step 4: Simplify right side
    1,762.94x = 3,743,897.02
  5. Step 5: Solve for x
    x = 3,743,897.02/1,762.94
  6. Step 6: Final answer
    x = 2,123.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.