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Finding the Fourth Proportional to 1,420.64, 2,130.60 and 958.16

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Solution

The fourth proportional to 1,420.64, 2,130.60 and 958.16 is: 1,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.64 : 2,130.60 = 958.16 : x
  2. Step 2: Convert to fraction form
    1,420.64/2,130.60 = 958.16/x
  3. Step 3: Cross multiply
    1,420.64x = 2,130.60 × 958.16
  4. Step 4: Simplify right side
    1,420.64x = 2,041,455.70
  5. Step 5: Solve for x
    x = 2,041,455.70/1,420.64
  6. Step 6: Final answer
    x = 1,437.00

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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.