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Finding the Fourth Proportional to 1,409.15, 2,114.10 and 435.26

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Solution

The fourth proportional to 1,409.15, 2,114.10 and 435.26 is: 653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.15 : 2,114.10 = 435.26 : x
  2. Step 2: Convert to fraction form
    1,409.15/2,114.10 = 435.26/x
  3. Step 3: Cross multiply
    1,409.15x = 2,114.10 × 435.26
  4. Step 4: Simplify right side
    1,409.15x = 920,172.60
  5. Step 5: Solve for x
    x = 920,172.60/1,409.15
  6. Step 6: Final answer
    x = 653.00

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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.