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Finding the Fourth Proportional to 4,726.98, 7,090.23 and 1,440

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Solution

The fourth proportional to 4,726.98, 7,090.23 and 1,440 is: 2,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.98 : 7,090.23 = 1,440 : x
  2. Step 2: Convert to fraction form
    4,726.98/7,090.23 = 1,440/x
  3. Step 3: Cross multiply
    4,726.98x = 7,090.23 × 1,440
  4. Step 4: Simplify right side
    4,726.98x = 10,209,931.20
  5. Step 5: Solve for x
    x = 10,209,931.20/4,726.98
  6. Step 6: Final answer
    x = 2,159.93

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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.